Adaptive Mesh Refinement with High Order Finite Difference Schemes Applied to Direct Numerical Simulation

16th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2003-3827 ◽

2003 ◽

Author(s):

Michel Borrel ◽

Juliet Ryan

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Direct Numerical Simulation ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.02.008 ◽

2011 ◽

Vol 230 (10) ◽

pp. 3780-3802 ◽

Cited By ~ 43

Author(s):

Chaopeng Shen ◽

Jing-Mei Qiu ◽

Andrew Christlieb

Keyword(s):

Finite Difference ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

High Order ◽

Weno Scheme ◽

Multi Scale ◽

High Order Finite Difference

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A class of energy stable, high-order finite-difference interface schemes suitable for adaptive mesh refinement of hyperbolic problems

Journal of Computational Physics ◽

10.1016/j.jcp.2007.05.027 ◽

2007 ◽

Vol 226 (2) ◽

pp. 1458-1484 ◽

Cited By ~ 14

Author(s):

R.M.J. Kramer ◽

C. Pantano ◽

D.I. Pullin

Keyword(s):

Finite Difference ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

High Order ◽

Hyperbolic Problems ◽

Energy Stable ◽

High Order Finite Difference

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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 ◽

Cited By ~ 1

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 Finite-Difference Schemes for Numerical Simulation of Hypersonic Boundary-Layer Transition

Journal of Computational Physics ◽

10.1006/jcph.1998.6010 ◽

1998 ◽

Vol 144 (2) ◽

pp. 662-709 ◽

Cited By ~ 253

Author(s):

Xiaolin Zhong

Keyword(s):

Numerical Simulation ◽

Boundary Layer ◽

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Boundary Layer Transition ◽

Finite Difference Schemes ◽

Hypersonic Boundary Layer ◽

Layer Transition ◽

High Order Finite Difference

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The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

Journal of Computational Physics ◽

10.1006/jcph.1993.1182 ◽

1993 ◽

Vol 108 (2) ◽

pp. 272-295 ◽

Cited By ~ 284

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatments ◽

The Stability ◽

High Order Finite Difference

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High-Order Finite-Difference Schemes

Effective Computational Methods for Wave Propagation - Numerical Insights ◽

10.1201/9781420010879.ch17 ◽

2008 ◽

pp. 491-519

Author(s):

J Ekaterinaris

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01144-w ◽

2020 ◽

Vol 82 (2) ◽

Cited By ~ 2

Author(s):

Hao Li ◽

Xiangxiong Zhang

Keyword(s):

Finite Difference ◽

Elliptic Equations ◽

Variational Formulation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Mathematical and Computational Applications ◽

10.3390/mca16040979 ◽

2011 ◽

Vol 16 (4) ◽

pp. 979-979

Author(s):

Murat Sari ◽

Gürhan Gürarslan ◽

Asuman Zeytinoğlu

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Finite Difference

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Conservative metric evaluation for high-order finite difference schemes with the GCL identities on moving and deforming grids

Journal of Computational Physics ◽

10.1016/j.jcp.2012.08.031 ◽

2013 ◽

Vol 232 (1) ◽

pp. 14-21 ◽

Cited By ~ 19

Author(s):

Yoshiaki Abe ◽

Nobuyuki Iizuka ◽

Taku Nonomura ◽

Kozo Fujii

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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High Order Finite Difference Schemes on Non-uniform Meshes with Good Conservation Properties

Journal of Computational Physics ◽

10.1006/jcph.1999.6398 ◽

2000 ◽

Vol 157 (2) ◽

pp. 746-761 ◽

Cited By ~ 98

Author(s):

Oleg V. Vasilyev

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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