Adaptive Mesh Redistribution for Hyperbolic Conservation Laws
An adaptive mesh redistribution method for efficient and accurate simulation of multi dimensional hyperbolic conservation laws is developed. The algorithm consists of two coupled steps; evolution of the governing PDE followed by a redistribution of the computational nodes. The second step, i.e. mesh...
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ndltd-IISc-oai-etd.ncsi.iisc.ernet.in-2005-32812018-03-20T03:38:43ZAdaptive Mesh Redistribution for Hyperbolic Conservation LawsPathak, Harshavardhana SunilAdaptive Mesh RedistributionMultigrid MethodsHyperbolic Conservation LawsNumerical Grid GenerationNumerical Mesh GenerationMesh Partial Differential EquationAdaptive Mesh Redistriution MethodAdaptive Mesh Redistribution AlgorithmsComputational Fluid DynamicsMesh Redistribution AlgorithmsMesh AdaptationInviscid Burger's EquationEuler's EquationsFluid DynamicsAn adaptive mesh redistribution method for efficient and accurate simulation of multi dimensional hyperbolic conservation laws is developed. The algorithm consists of two coupled steps; evolution of the governing PDE followed by a redistribution of the computational nodes. The second step, i.e. mesh redistribution is carried out at each time step iteratively with the primary aim of adapting the grid to the computed solution in order to maximize accuracy while minimizing the computational overheads. The governing hyperbolic conservation laws, originally defined on the physical domain, are transformed on to a simplified computational domain where the position of the nodes remains independent of time. The transformed governing hyperbolic equations are recast in a strong conservative form and are solved directly on the computational domain without the need for interpolation that is typically associated with standard mesh redistribution algorithms. Several standard test cases involving numerical solution of scalar and system of hyperbolic conservation laws in one and two dimensions are presented in order to demonstrate the accuracy and computational efficiency of the proposed technique.Shukla, R K2018-03-19T06:15:22Z2018-03-19T06:15:22Z2018-03-192013Thesishttp://hdl.handle.net/2005/3281http://etd.ncsi.iisc.ernet.in/abstracts/4143/G25604-Abs.pdfen_USG25604 |
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language |
en_US |
sources |
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topic |
Adaptive Mesh Redistribution Multigrid Methods Hyperbolic Conservation Laws Numerical Grid Generation Numerical Mesh Generation Mesh Partial Differential Equation Adaptive Mesh Redistriution Method Adaptive Mesh Redistribution Algorithms Computational Fluid Dynamics Mesh Redistribution Algorithms Mesh Adaptation Inviscid Burger's Equation Euler's Equations Fluid Dynamics |
spellingShingle |
Adaptive Mesh Redistribution Multigrid Methods Hyperbolic Conservation Laws Numerical Grid Generation Numerical Mesh Generation Mesh Partial Differential Equation Adaptive Mesh Redistriution Method Adaptive Mesh Redistribution Algorithms Computational Fluid Dynamics Mesh Redistribution Algorithms Mesh Adaptation Inviscid Burger's Equation Euler's Equations Fluid Dynamics Pathak, Harshavardhana Sunil Adaptive Mesh Redistribution for Hyperbolic Conservation Laws |
description |
An adaptive mesh redistribution method for efficient and accurate simulation of multi dimensional hyperbolic conservation laws is developed. The algorithm consists of two coupled steps; evolution of the governing PDE followed by a redistribution of the computational nodes. The second step, i.e. mesh redistribution is carried out at each time step iteratively with the primary aim of adapting the grid to the computed solution in order to maximize accuracy while minimizing the computational overheads. The governing hyperbolic conservation laws, originally defined on the physical domain, are transformed on to a simplified computational domain where the position of the nodes remains independent of time. The transformed governing hyperbolic equations are recast in a strong conservative form and are solved directly on the computational domain without the need for interpolation that is typically associated with standard mesh redistribution algorithms. Several standard test cases involving numerical solution of scalar and system of hyperbolic conservation laws in one and two dimensions are presented in order to demonstrate the accuracy and computational efficiency of the proposed technique. |
author2 |
Shukla, R K |
author_facet |
Shukla, R K Pathak, Harshavardhana Sunil |
author |
Pathak, Harshavardhana Sunil |
author_sort |
Pathak, Harshavardhana Sunil |
title |
Adaptive Mesh Redistribution for Hyperbolic Conservation Laws |
title_short |
Adaptive Mesh Redistribution for Hyperbolic Conservation Laws |
title_full |
Adaptive Mesh Redistribution for Hyperbolic Conservation Laws |
title_fullStr |
Adaptive Mesh Redistribution for Hyperbolic Conservation Laws |
title_full_unstemmed |
Adaptive Mesh Redistribution for Hyperbolic Conservation Laws |
title_sort |
adaptive mesh redistribution for hyperbolic conservation laws |
publishDate |
2018 |
url |
http://hdl.handle.net/2005/3281 http://etd.ncsi.iisc.ernet.in/abstracts/4143/G25604-Abs.pdf |
work_keys_str_mv |
AT pathakharshavardhanasunil adaptivemeshredistributionforhyperbolicconservationlaws |
_version_ |
1718616761306185728 |