Adaptive-Mesh-Refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions

Journal of Computational Physics ◽

10.1016/j.jcp.2017.10.031 ◽

2018 ◽

Vol 354 ◽

pp. 86-110 ◽

Author(s):

Matteo Semplice ◽

Raphaël Loubère

Keyword(s):

Conservation Laws ◽

Adaptive Mesh Refinement ◽

Hyperbolic Systems ◽

Mesh Refinement ◽

Adaptive Mesh ◽

A Posteriori ◽

Order Polynomial ◽

Systems Of Conservation Laws

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Local high-order conservative space-time adaptive mesh refinement with the Runge-Kutta time integration for solving the systems of conservation laws

Journal of Physics Conference Series ◽

10.1088/1742-6596/1740/1/012055 ◽

2021 ◽

Vol 1740 ◽

pp. 012055

Author(s):

B A Korneev ◽

V D Levchenko ◽

A V Ivanov ◽

A V Zakirov

Keyword(s):

Conservation Laws ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Time Integration ◽

Adaptive Mesh ◽

Systems Of Conservation Laws ◽

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Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Hyperbolic Systems of Conservation Laws

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_12 ◽

2007 ◽

pp. 198-206 ◽

Author(s):

Pep Mulet ◽

Antonio Baeza

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Adaptive Mesh Refinement ◽

Hyperbolic Systems ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Systems Of Conservation Laws

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High-Order Central ENO Finite-Volume Scheme with Adaptive Mesh Refinement

18th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2007-4323 ◽

2007 ◽

Author(s):

Lucian Ivan ◽

Clinton Groth

Keyword(s):

Finite Volume ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Finite Volume Scheme ◽

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A Freestream-Preserving High-Order Finite-Volume Method for Mapped Grids with Adaptive-Mesh Refinement

50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2012-574 ◽

2012 ◽

Author(s):

Stephen Guzik ◽

Peter McCorquodale ◽

Phillip Colella

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

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High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.039 ◽

2017 ◽

Vol 73 (9) ◽

pp. 1945-1974 ◽

Author(s):

Mi-Young Kim ◽

Eun-Jae Park ◽

Jaemin Shin

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Lagrange Multiplier ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Systems ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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A high order Godunov scheme with constrained transport and adaptive mesh refinement for astrophysical and geophysical MHD

Geophysical & Astrophysical Fluid Dynamics ◽

10.1080/03091920701523386 ◽

2007 ◽

Vol 101 (3-4) ◽

pp. 199-225 ◽

Author(s):

Romain Teyssier

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Godunov Scheme ◽

Constrained Transport

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A high-order flux reconstruction method with adaptive mesh refinement and artificial diffusivity on unstructured moving/deforming mesh for shock capturing

Computers & Fluids ◽

10.1016/j.compfluid.2016.03.025 ◽

2016 ◽

Vol 139 ◽

pp. 17-35 ◽

Author(s):

Jingjing Yang ◽

Bin Zhang ◽

Chunlei Liang ◽

Yongwu Rong

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Shock Capturing ◽

Flux Reconstruction ◽

Reconstruction Method ◽

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A high-order element based adaptive mesh refinement strategy for three-dimensional unstructured grid

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4397 ◽

2017 ◽

Vol 85 (9) ◽

pp. 538-560 ◽

Author(s):

Jinlan Gou ◽

Xin Yuan ◽

Xinrong Su

Keyword(s):

Adaptive Mesh Refinement ◽

Unstructured Grid ◽

Mesh Refinement ◽

Three Dimensional ◽

Adaptive Mesh ◽

High Order Element ◽

Refinement Strategy ◽

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Parallel High-Order Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme

20th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2011-3695 ◽

2011 ◽

Author(s):

Zimi Zhang ◽

Clinton Groth

Keyword(s):

Finite Volume ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Finite Volume Scheme ◽

Volume Scheme ◽

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High-Order Adaptive Mesh Refinement Multigrid Poisson Solver in Any Dimension

SSRN Electronic Journal ◽

10.2139/ssrn.3959773 ◽

2021 ◽

Author(s):

Erwan Deriaz

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Poisson Solver ◽

Multigrid Poisson Solver

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