subject:(semi Lagrangian methods)

University of Manchester

1. Cheng, Mingliang. CORPORATE VALUATION AND OPTIMAL OPERATION UNDER LIQUIDITY CONSTRAINTS.

Degree: 2016, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:298233

► We investigate the impact of cash reserves upon the optimal behaviour of a modelled firm that has uncertain future revenues. To achieve this, we build… (more)

Subjects/Keywords: Corporate Finance; Real Options; Debt Financing; Optimal Investment; Stochastic Control; Semi-Lagrangian Methods; Optimal Dividends

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APA (6^th Edition):

Cheng, M. (2016). CORPORATE VALUATION AND OPTIMAL OPERATION UNDER LIQUIDITY CONSTRAINTS. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:298233

Chicago Manual of Style (16^th Edition):

Cheng, Mingliang. “CORPORATE VALUATION AND OPTIMAL OPERATION UNDER LIQUIDITY CONSTRAINTS.” 2016. Doctoral Dissertation, University of Manchester. Accessed January 22, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:298233.

MLA Handbook (7^th Edition):

Cheng, Mingliang. “CORPORATE VALUATION AND OPTIMAL OPERATION UNDER LIQUIDITY CONSTRAINTS.” 2016. Web. 22 Jan 2021.

Vancouver:

Cheng M. CORPORATE VALUATION AND OPTIMAL OPERATION UNDER LIQUIDITY CONSTRAINTS. [Internet] [Doctoral dissertation]. University of Manchester; 2016. [cited 2021 Jan 22]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:298233.

Council of Science Editors:

Cheng M. CORPORATE VALUATION AND OPTIMAL OPERATION UNDER LIQUIDITY CONSTRAINTS. [Doctoral Dissertation]. University of Manchester; 2016. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:298233

2. Artale, Valeria. Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations.

Degree: 2012, Università degli Studi di Catania

URL: http://hdl.handle.net/10761/1106

► The present work is devoted to the study of free boundary problems for Euler and Navier-Stokes equations in primitive variables. The goal of the present… (more)

Subjects/Keywords: Area 01 - Scienze matematiche e informatiche; Navier-Stokes Equation, Level-Set Methods, Semi-Lagrangian Methods, Chorin's projection method

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APA (6^th Edition):

Artale, V. (2012). Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations. (Thesis). Università degli Studi di Catania. Retrieved from http://hdl.handle.net/10761/1106

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Artale, Valeria. “Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations.” 2012. Thesis, Università degli Studi di Catania. Accessed January 22, 2021. http://hdl.handle.net/10761/1106.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Artale, Valeria. “Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations.” 2012. Web. 22 Jan 2021.

Vancouver:

Artale V. Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations. [Internet] [Thesis]. Università degli Studi di Catania; 2012. [cited 2021 Jan 22]. Available from: http://hdl.handle.net/10761/1106.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Artale V. Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations. [Thesis]. Università degli Studi di Catania; 2012. Available from: http://hdl.handle.net/10761/1106

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

3. Glanc, Pierre. Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods.

Degree: Docteur es, Mathématiques appliquées, 2014, Université de Strasbourg

URL: http://www.theses.fr/2014STRAD001

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Cette thèse présente l'étude et le développement de méthodes numériques pour la résolution d'équations de transport, en particulier d'une méthode de remapping bidimensionnel dont un… (more)

Subjects/Keywords: Équation de Vlasov; Méthodes conservatives; Méthodes semi-lagrangiennes; Intersections de maillages; Vlasov equation; Conservative methods; Semi-lagrangian methods; Intersection of meshes; 518

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APA (6^th Edition):

Glanc, P. (2014). Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2014STRAD001

Chicago Manual of Style (16^th Edition):

Glanc, Pierre. “Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods.” 2014. Doctoral Dissertation, Université de Strasbourg. Accessed January 22, 2021. http://www.theses.fr/2014STRAD001.

MLA Handbook (7^th Edition):

Glanc, Pierre. “Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods.” 2014. Web. 22 Jan 2021.

Vancouver:

Glanc P. Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2014. [cited 2021 Jan 22]. Available from: http://www.theses.fr/2014STRAD001.

Council of Science Editors:

Glanc P. Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods. [Doctoral Dissertation]. Université de Strasbourg; 2014. Available from: http://www.theses.fr/2014STRAD001

University of Illinois – Chicago

4. Mahdav, Ashkan. Meshfree Methods for Fracture and High-Velocity Impact Simulation.

Degree: 2019, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/23757

► The study of projectile penetration has a long history with a great military research interest for various applications such as projectile’s design to maximize depth… (more)

▼ The study of projectile penetration has a long history with a great military research interest for various applications such as projectile’s design to maximize depth of penetration into different materials, or penetration depth prediction for munitions removal for military training sites. The nature of the problem involves complex physics and mechanics, leading to extremely large deformations, high velocity penetration, and highly fragmented configurations, which in turn posts immense challenges in computational simulations. The aims of this study is to develop computational tools, addressing challenges at micro- and macro-scales, to simulate and study mechanisms of projectile penetration into soils. Within a hierarchical multiscale framework, a microscale model accounting micro defeats and their evolution can be simulated in detail in order to develop physically based constitutive models for geomaterials. However, simulating an excessive amount of defeats and how they propagate, branch, and nuclear, remains a big challenge in computation. The phase-field variational approaches have gained considerable amount of interest to address challenges abovementioned. However, phase-field becomes a computationally expensive method when narrow-width crack with a small value for length-scale parameter is required, which demands an extremely fine mesh close to the crack initiation location and on its propagation path. Moreover, Galerkin methods require quadrature rule for numerical integration which leads to either integration inaccuracy and instability or excessively high computational cost. To overcome domain integration issues and mesh-size dependency of the phase-field approach, two new methods are introduced within the Reproducing Kernel (RK) collocation method. A high-order gradient reproducing kernel collocation method (HGRKCM) is introduced for solving higher order phase-field formulation, such as the fourth-order formulation which increases the regularity of the phase-field solution. The method provides stable and accurate solutions by solving the determined system of equations and gradient derivatives of RK shape functions, which boost the computational efficiency compared to regular RK collocation methods. Besides, a Harmonic RK (HRK) method is introduced to address the mesh-decency of the phase-field problem. The method provides exact approximation for the phase-field solution up to machine limit with considerably coarser nodal distant size compared to other methods. Harmonic-enriched RK in the HGRKCM framework provide a robust method for solving the phase-field problem in term of both accuracy and efficiency. To simulate the penetration process at the macroscale, a two-field (u - p) formulation based on the Biot theory has been developed and implemented under the semi-Lagrangian RK framework, where displacement and pressure fields are independently approximated by the semi-Lagrangian RK shape functions. A Drucker-Prager type constitutive model including a one-parameter damage model is employed to simulate the… Advisors/Committee Members: Chi, Sheng-Wei (advisor), Foster, Craig (committee member), Ozevin, Didem (committee member), Karpov, Eduard (committee member), Shabana, Ahmed (committee member), Chi, Sheng-Wei (chair).

Subjects/Keywords: Meshfree methods; Reproducing Kernel Collocation; Fracture; Phase-field model; Semi-Lagrangian Reproducing Kernel; Penetration; High-Velocity Impact

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APA (6^th Edition):

Mahdav, A. (2019). Meshfree Methods for Fracture and High-Velocity Impact Simulation. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23757

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mahdav, Ashkan. “Meshfree Methods for Fracture and High-Velocity Impact Simulation.” 2019. Thesis, University of Illinois – Chicago. Accessed January 22, 2021. http://hdl.handle.net/10027/23757.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mahdav, Ashkan. “Meshfree Methods for Fracture and High-Velocity Impact Simulation.” 2019. Web. 22 Jan 2021.

Vancouver:

Mahdav A. Meshfree Methods for Fracture and High-Velocity Impact Simulation. [Internet] [Thesis]. University of Illinois – Chicago; 2019. [cited 2021 Jan 22]. Available from: http://hdl.handle.net/10027/23757.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mahdav A. Meshfree Methods for Fracture and High-Velocity Impact Simulation. [Thesis]. University of Illinois – Chicago; 2019. Available from: http://hdl.handle.net/10027/23757

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Manchester

5. Cheng, Mingliang. Corporate valuation and optimal operation under liquidity constraints.

Degree: PhD, 2016, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/corporate-valuation-and-optimal-operation-under-liquidity-constraints(9dbf048a-87e0-434d-aac5-b5bd6b6963c8).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.728098

► We investigate the impact of cash reserves upon the optimal behaviour of a modelled firm that has uncertain future revenues. To achieve this, we build… (more)

Subjects/Keywords: 519.2; Semi-Lagrangian Methods; Optimal Dividends; Stochastic Control; Optimal Investment; Debt Financing; Real Options; Corporate Finance

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cheng, M. (2016). Corporate valuation and optimal operation under liquidity constraints. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/corporate-valuation-and-optimal-operation-under-liquidity-constraints(9dbf048a-87e0-434d-aac5-b5bd6b6963c8).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.728098

Chicago Manual of Style (16^th Edition):

Cheng, Mingliang. “Corporate valuation and optimal operation under liquidity constraints.” 2016. Doctoral Dissertation, University of Manchester. Accessed January 22, 2021. https://www.research.manchester.ac.uk/portal/en/theses/corporate-valuation-and-optimal-operation-under-liquidity-constraints(9dbf048a-87e0-434d-aac5-b5bd6b6963c8).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.728098.

MLA Handbook (7^th Edition):

Cheng, Mingliang. “Corporate valuation and optimal operation under liquidity constraints.” 2016. Web. 22 Jan 2021.

Vancouver:

Cheng M. Corporate valuation and optimal operation under liquidity constraints. [Internet] [Doctoral dissertation]. University of Manchester; 2016. [cited 2021 Jan 22]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/corporate-valuation-and-optimal-operation-under-liquidity-constraints(9dbf048a-87e0-434d-aac5-b5bd6b6963c8).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.728098.

Council of Science Editors:

Cheng M. Corporate valuation and optimal operation under liquidity constraints. [Doctoral Dissertation]. University of Manchester; 2016. Available from: https://www.research.manchester.ac.uk/portal/en/theses/corporate-valuation-and-optimal-operation-under-liquidity-constraints(9dbf048a-87e0-434d-aac5-b5bd6b6963c8).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.728098

6. Steiner, Christophe. Résolution numérique de l'opérateur de gyromoyenne, schémas d'advection et couplage : applications à l'équation de Vlasov : Numerical methods for the gyroaverage operator, advection schemes and coupling : applications to the Vlasov equation.

Degree: Docteur es, Mathématiques appliquées, 2014, Université de Strasbourg

URL: http://www.theses.fr/2014STRAD033

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Cette thèse propose et analyse des méthodes numériques pour la résolution de l'équation de Vlasov. Cette équation modélise l'évolution d'une espèce de particules chargées sous… (more)

Subjects/Keywords: Equation de Vlasov; Méthodes semi-Lagrangiennes; Equations équivalentes; Superconvergence; GPU; Gyromoyenne; Equation de quasi-neutralité; Modèle gyrocinétique; Vlasov equation; Semi-Lagrangian methods; Equivalent equations; Superconvergence; GPU; Gyrokinetic model; Gyroaverage; Quasi-neutrality equation; 515; 518; 533.7

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APA (6^th Edition):

Steiner, C. (2014). Résolution numérique de l'opérateur de gyromoyenne, schémas d'advection et couplage : applications à l'équation de Vlasov : Numerical methods for the gyroaverage operator, advection schemes and coupling : applications to the Vlasov equation. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2014STRAD033

Chicago Manual of Style (16^th Edition):

Steiner, Christophe. “Résolution numérique de l'opérateur de gyromoyenne, schémas d'advection et couplage : applications à l'équation de Vlasov : Numerical methods for the gyroaverage operator, advection schemes and coupling : applications to the Vlasov equation.” 2014. Doctoral Dissertation, Université de Strasbourg. Accessed January 22, 2021. http://www.theses.fr/2014STRAD033.

MLA Handbook (7^th Edition):

Steiner, Christophe. “Résolution numérique de l'opérateur de gyromoyenne, schémas d'advection et couplage : applications à l'équation de Vlasov : Numerical methods for the gyroaverage operator, advection schemes and coupling : applications to the Vlasov equation.” 2014. Web. 22 Jan 2021.

Vancouver:

Steiner C. Résolution numérique de l'opérateur de gyromoyenne, schémas d'advection et couplage : applications à l'équation de Vlasov : Numerical methods for the gyroaverage operator, advection schemes and coupling : applications to the Vlasov equation. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2014. [cited 2021 Jan 22]. Available from: http://www.theses.fr/2014STRAD033.

Council of Science Editors:

Steiner C. Résolution numérique de l'opérateur de gyromoyenne, schémas d'advection et couplage : applications à l'équation de Vlasov : Numerical methods for the gyroaverage operator, advection schemes and coupling : applications to the Vlasov equation. [Doctoral Dissertation]. Université de Strasbourg; 2014. Available from: http://www.theses.fr/2014STRAD033

Brno University of Technology

7. Zubal, Miloš. Realistická animace kouře: Realistic Smoke Animation.

Degree: 2020, Brno University of Technology

URL: http://hdl.handle.net/11012/187561

► This work makes basic analysis of historical and current algorithms for smoke animation. Modern approaches to rendering volumetric data are briefly described. We choose algorithms… (more)

Subjects/Keywords: kouř; dynamika tekutin; Eulerovy rovnice Navier-Strokeovy rovnice; vorticity confinement; semi-Lagrangeovské metody; volume rendering; ray tracing; texture mapping; OpenGL; LaTeX; smoke; fluid dynamics; Euler equations; Navier-Stroke equations; vorticity confinement; semi-Lagrangian methods; volume rendering; ray tracing; texture mapping; OpenGL; LaTeX

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APA (6^th Edition):

Zubal, M. (2020). Realistická animace kouře: Realistic Smoke Animation. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/187561

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zubal, Miloš. “Realistická animace kouře: Realistic Smoke Animation.” 2020. Thesis, Brno University of Technology. Accessed January 22, 2021. http://hdl.handle.net/11012/187561.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zubal, Miloš. “Realistická animace kouře: Realistic Smoke Animation.” 2020. Web. 22 Jan 2021.

Vancouver:

Zubal M. Realistická animace kouře: Realistic Smoke Animation. [Internet] [Thesis]. Brno University of Technology; 2020. [cited 2021 Jan 22]. Available from: http://hdl.handle.net/11012/187561.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zubal M. Realistická animace kouře: Realistic Smoke Animation. [Thesis]. Brno University of Technology; 2020. Available from: http://hdl.handle.net/11012/187561

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

8. Horsin, Romain. Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques : Long time behavior of certain Vlasov equations : mathematics and numerics.

Degree: Docteur es, Mathématiques et Applications, 2017, Rennes 1

URL: http://www.theses.fr/2017REN1S062

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Cette thèse porte sur le comportement en temps long de solutions d’équations de type Vlasov, principalement le modèle Vlasov-HMF. On s’intéresse en particulier au phénomène… (more)

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Cette thèse porte sur le comportement en temps long de solutions d’équations de type Vlasov, principalement le modèle Vlasov-HMF. On s’intéresse en particulier au phénomène d’amortissement Landau, prouvé mathématiquement dans divers cadres, pour plusieurs équations de type Vlasov, comme l’équation de Vlasov-Poisson ou le modèle Vlasov-HMF, et présentant certaines analogies avec le phénomène d’amortissement non visqueux pour l’équation d’Euler 2D. Les résultats qui y sont décrits sont les suivants. Le premier est un théorème d’amortissement Landau pour des solutions numériques du modèle Vlasov-HMF, obtenues par discrétisation en temps de ce dernier via des méthodes de splitting. Nous prouvons en outre la convergence des schémas numériques. Le second est un théorème d’amortissment Landau pour des solutions du modéle Vlasov-HMF linéarisé autour d’états stationnaires inhomogènes. Ce théorème est accompagné de nombreuses simulations numériques destinées à étudier numériquement le cas non-linéaire, et semblant mettre en lumière de nouveaux phénomènes. Enfin, le dernier résultat porte sur la discrétisation en temps de l’équation d’Euler 2D par un intégrateur de Crouch-Grossman symplectique. Nous prouvons la convergence du schéma.

This thesis concerns the long time behavior of certain Vlasov equations, mainly the Vlasov- HMF model. We are in particular interested in the celebrated phenomenon of Landau damp- ing, proved mathematically in various frameworks, foar several Vlasov equations, such as the Vlasov-Poisson equation or the Vlasov-HMF model, and exhibiting certain analogies with the inviscid damping phenomenon for the 2D Euler equation. The results described in the document are the following.The first one is a Landau damping theorem for numerical solutions of the Vlasov-HMF model, constructed by means of time-discretizations by splitting methods. We prove more- over the convergence of the schemes. The second result is a Landau damping theorem for solutions of the Vlasov-HMF model linearized around inhomogeneous stationary states. We provide moreover a quite large amount of numerical simulations, which are designed to study numerically the nonlinear case, and which seem to show new phenomenons. The last result is the convergence of a scheme that discretizes in time the 2D Euler equation by means of a symplectic Crouch-Grossmann integrator.

Advisors/Committee Members: Faou, Erwan (thesis director), Rousset, Frédéric (thesis director).

Subjects/Keywords: Équations de type Vlasov; Équations d’Euler; Équations de transport; Amortissement Landau; État stationnaire; Méthodes de splitting; Méthodes semi-Lagrangiennes; Intégrateur symplectique; Intégrateur de Crouch-Grossman; Analyse d’erreur rétrograde; Systèmes hamiltoniens; Coordonnées action-angle; Vlasov equations; Euler equations; Transport equations; Landau damping; Stationary state; Splitting methods; Semi-Lagrangian methods; Symplectic integrator; Crouch-Grossman integrator; Backward error analysis; Hamiltonian systems; Angle-action variables

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APA (6^th Edition):

Horsin, R. (2017). Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques : Long time behavior of certain Vlasov equations : mathematics and numerics. (Doctoral Dissertation). Rennes 1. Retrieved from http://www.theses.fr/2017REN1S062

Chicago Manual of Style (16^th Edition):

Horsin, Romain. “Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques : Long time behavior of certain Vlasov equations : mathematics and numerics.” 2017. Doctoral Dissertation, Rennes 1. Accessed January 22, 2021. http://www.theses.fr/2017REN1S062.

MLA Handbook (7^th Edition):

Horsin, Romain. “Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques : Long time behavior of certain Vlasov equations : mathematics and numerics.” 2017. Web. 22 Jan 2021.

Vancouver:

Horsin R. Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques : Long time behavior of certain Vlasov equations : mathematics and numerics. [Internet] [Doctoral dissertation]. Rennes 1; 2017. [cited 2021 Jan 22]. Available from: http://www.theses.fr/2017REN1S062.

Council of Science Editors:

Horsin R. Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques : Long time behavior of certain Vlasov equations : mathematics and numerics. [Doctoral Dissertation]. Rennes 1; 2017. Available from: http://www.theses.fr/2017REN1S062

Pontifical Catholic University of Rio de Janeiro

9. ISMAEL ANDRADE PIMENTEL. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.

Degree: 2018, Pontifical Catholic University of Rio de Janeiro

URL: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

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[pt] Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais.… (more)

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[pt] Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais. Este método se baseia principalmente na combinação do método Semi-Lagrangeano adaptativo com interpolação local meshfree usando splines poliharmônicas como funções de base radial. O método proposto é uma melhoria e uma extensão do método adaptativo meshfree AMMoC proposto por Iske e Kaser (2005) para modelagem 2D de reservatórios de petróleo. Inicialmente este trabalho propõe um modelo em duas dimensões, contribuindo com uma melhoria significativa no cálculo do Laplaciano, utilizando os métodos meshfree de Hermite e Kansa. Depois, o método é ampliado para três dimensões (3D) e para um meio poroso heterogêneo. O método proposto é testado com o problema de five spot e os resultados são comparados com os obtidos por sistemas bem conhecidos na indústria de petróleo.

[en] This thesis proposes an adaptive meshfree advection method for two-phase flow problems of incompressible and immiscible fluids through three-dimensional heterogeneous porous media. This method is based mainly on a combination of adaptive semi-Lagrangian method with local meshfree interpolation using polyharmonic splines as radial basis functions. The proposed method is an improvement and extension of the adaptive meshfree advection scheme AMMoC proposed by Iske and Kaser (2005) for 2D oil reservoir modeling. Initially this work proposes a model in two dimensions, contributing to a significant improvement in the calculation of the Laplacian, using the meshfree methods of Hermite and Kansa. Then, the method is extended to three dimensions (3D) and a heterogeneous porous medium. The proposed method is tested with the five spot problem and the results are compared with those obtained by well-known systems in the oil industry.

Advisors/Committee Members: MARCELO DE ANDRADE DREUX, MARCELO DE ANDRADE DREUX.

Subjects/Keywords: [pt] MECANICA COMPUTACIONAL; [en] COMPUTATIONAL MECHANICS; [pt] COMPUTACAO GRAFICA; [en] COMPUTER GRAPHICS; [pt] METODOS NUMERICOS; [en] NUMERICAL METHODS; [pt] SIMULACAO DE FLUIDOS; [en] FLUID SIMULATION; [pt] MEIOS POROSOS HETEROGENEOS; [en] HETEROGENEOUS POROUS MEDIA; [pt] ADAPTATIVO; [en] ADAPTIVE; [pt] LEVEL SET; [en] LEVEL SET; [pt] SEMI-LAGRANGEANO; [en] SEMI-LAGRANGIAN; [pt] ADVECCAO; [en] ADVECTION; [pt] MESHFREE; [en] MESHFREE

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APA (6^th Edition):

PIMENTEL, I. A. (2018). [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

PIMENTEL, ISMAEL ANDRADE. “[en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.” 2018. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed January 22, 2021. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

PIMENTEL, ISMAEL ANDRADE. “[en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.” 2018. Web. 22 Jan 2021.

Vancouver:

PIMENTEL IA. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2018. [cited 2021 Jan 22]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

PIMENTEL IA. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2018. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

10. Pham, Thi Trang Nhung. Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation.

Degree: Docteur es, Mathématiques appliquées, 2016, Université de Strasbourg

URL: http://www.theses.fr/2016STRAD051

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Beaucoup de méthodes numériques ont été développées pour résoudre l'équation de Vlasov, car obtenir des simulations numériques précises en un temps raisonnable pour cette équation… (more)

Subjects/Keywords: Analyse numérique; Plasmas; Modèle de Vlasov-Poisson; Modèle réduit; Modèle de Vlasov-Maxwell; Modèle de drift-kinetic; Equation de quasi-neutralité; Méthode des éléments finis; Méthode des volumes finis; Méthodes semi-Lagrangiennes; Méthode de Galerkin discontinu; Reduced Vlasov equation; Numerical analysis; Plasmas; Model Vlasov-Poisson; Vlasov-Maxwell model; Drift-kinetic model; Equation of quasi-neutrality; Finite element method; Finite volume method; Semi-Lagrangian methods; Discontinuous Galerkin method; 518; 539.7

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pham, T. T. N. (2016). Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2016STRAD051

Chicago Manual of Style (16^th Edition):

Pham, Thi Trang Nhung. “Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation.” 2016. Doctoral Dissertation, Université de Strasbourg. Accessed January 22, 2021. http://www.theses.fr/2016STRAD051.

MLA Handbook (7^th Edition):

Pham, Thi Trang Nhung. “Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation.” 2016. Web. 22 Jan 2021.

Vancouver:

Pham TTN. Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2016. [cited 2021 Jan 22]. Available from: http://www.theses.fr/2016STRAD051.

Council of Science Editors:

Pham TTN. Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation. [Doctoral Dissertation]. Université de Strasbourg; 2016. Available from: http://www.theses.fr/2016STRAD051

11. Donde, Pratik Prakash. LES/PDF approach for turbulent reacting flows.

Degree: PhD, Aerospace Engineering, 2012, University of Texas – Austin

URL: http://hdl.handle.net/2152/19481

► The probability density function (PDF) approach is a powerful technique for large eddy simulation (LES) based modeling of turbulent reacting flows. In this approach, the… (more)

▼ The probability density function (PDF) approach is a powerful technique for large eddy simulation (LES) based modeling of turbulent reacting flows. In this approach, the joint-PDF of all reacting scalars is estimated by solving a PDF transport equation, thus providing detailed information about small-scale correlations between these quantities. The objective of this work is to further develop the LES/PDF approach for studying flame stabilization in supersonic combustors, and for soot modeling in turbulent flames. Supersonic combustors are characterized by strong shock-turbulence interactions which preclude the application of conventional Lagrangian stochastic methods for solving the PDF transport equation. A viable alternative is provided by quadrature based methods which are deterministic and Eulerian. In this work, it is first demonstrated that the numerical errors associated with LES require special care in the development of PDF solution algorithms. The direct quadrature method of moments (DQMOM) is one quadrature-based approach developed for supersonic combustion modeling. This approach is shown to generate inconsistent evolution of the scalar moments. Further, gradient-based source terms that appear in the DQMOM transport equations are severely underpredicted in LES leading to artificial mixing of fuel and oxidizer. To overcome these numerical issues, a new approach called semi-discrete quadrature method of moments (SeQMOM) is formulated. The performance of the new technique is compared with the DQMOM approach in canonical flow configurations as well as a three-dimensional supersonic cavity stabilized flame configuration. The SeQMOM approach is shown to predict subfilter statistics accurately compared to the DQMOM approach. For soot modeling in turbulent flows, an LES/PDF approach is integrated with detailed models for soot formation and growth. The PDF approach directly evolves the joint statistics of the gas-phase scalars and a set of moments of the soot number density function. This LES/PDF approach is then used to simulate a turbulent natural gas flame. A Lagrangian method formulated in cylindrical coordinates solves the high dimensional PDF transport equation and is coupled to an Eulerian LES solver. The LES/PDF simulations show that soot formation is highly intermittent and is always restricted to the fuel-rich region of the flow. The PDF of soot moments has a wide spread leading to a large subfilter variance. Further, the conditional statistics of soot moments conditioned on mixture fraction and reaction progress variable show strong correlation between the gas phase composition and soot moments. Advisors/Committee Members: Raman, Venkat (advisor), Clemens, Noel (committee member), Ezekoye, Ofodike (committee member), Goldstein, David (committee member), Moser, Robert (committee member).

Subjects/Keywords: Probability density function approach; Large eddy simulation; Supersonic combustion modeling; Soot modeling; Turbulent reacting flows; Direct quadrature method of moments; Semi-discrete quadrature method of moments; Quadrature based methods; Lagrangian Monte Carlo methods; Supersonic combustors; Flame stabilization; Polycyclic aromatic hydrocarbons; Soot-turbulence-chemistry interactions; Shock-turbulence-chemistry interactions

…Chapter 3, and errors introduced by existing methods are discussed. A new approach called semi… …combustion modeling 3.1 Quadrature based moment methods . . . . . . . . . . . . . . . 3.1.1… …3.3 Semi-discrete quadrature method of moments (SeQMOM) . . . 3.4 Numerical… …Evolution of the second moment of a conserved scalar obtained using various methods after 0.1 flow… …fraction (top). Variance of mixture fraction obtained using various methods (…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Donde, P. P. (2012). LES/PDF approach for turbulent reacting flows. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/19481

Chicago Manual of Style (16^th Edition):

Donde, Pratik Prakash. “LES/PDF approach for turbulent reacting flows.” 2012. Doctoral Dissertation, University of Texas – Austin. Accessed January 22, 2021. http://hdl.handle.net/2152/19481.

MLA Handbook (7^th Edition):

Donde, Pratik Prakash. “LES/PDF approach for turbulent reacting flows.” 2012. Web. 22 Jan 2021.

Vancouver:

Donde PP. LES/PDF approach for turbulent reacting flows. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2012. [cited 2021 Jan 22]. Available from: http://hdl.handle.net/2152/19481.

Council of Science Editors:

Donde PP. LES/PDF approach for turbulent reacting flows. [Doctoral Dissertation]. University of Texas – Austin; 2012. Available from: http://hdl.handle.net/2152/19481

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