High-Order Finite Difference Solution of Euler Equations for Nonlinear Water Waves

Volume 4: Offshore Geotechnics; Ronald W. Yeung Honoring Symposium on Offshore and Ship Hydrodynamics ◽

10.1115/omae2012-83542 ◽

2012 ◽

Author(s):

Torben B. Christiansen ◽

Harry B. Bingham ◽

Allan P. Engsig-Karup

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Water Waves ◽

Nonlinear Water Waves ◽

Finite Difference Solution ◽

High Order Finite Difference ◽

Difference Solution

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High-order finite difference solution for 3D nonlinear wave-structure interaction

Journal of Hydrodynamics ◽

10.1016/s1001-6058(09)60198-0 ◽

2010 ◽

Vol 22 (S1) ◽

pp. 225-230 ◽

Author(s):

Guillaume Ducrozet ◽

Harry B. Bingham ◽

Allan Peter Engsig-Karup ◽

Pierre Ferrant

Keyword(s):

Finite Difference ◽

Nonlinear Wave ◽

Wave Structure ◽

Structure Interaction ◽

Finite Difference Solution ◽

High Order Finite Difference ◽

Nonlinear Wave Structure ◽

Wave Structure Interaction ◽

Difference Solution

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A direct high-order finite difference solution to the Helmholtz equation in ocean acoustics

OCEANS 2018 MTS/IEEE Charleston ◽

10.1109/oceans.2018.8604903 ◽

2018 ◽

Author(s):

Liu Wei ◽

Cheng Xinghua ◽

Xiao Wenbin ◽

Wang Yongxian ◽

Zhang Lilun

Keyword(s):

Finite Difference ◽

Helmholtz Equation ◽

Ocean Acoustics ◽

Finite Difference Solution ◽

High Order Finite Difference ◽

Difference Solution

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A PARALLEL ADI ALGORITHM FOR HIGH-ORDER FINITE-DIFFERENCE SOLUTION OF THE UNSTEADY HEAT CONDUCTION EQUATION, AND ITS IMPLEMENTATION ON THE CM-5

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407799308955886 ◽

1993 ◽

Vol 24 (2) ◽

pp. 143-159 ◽

Author(s):

Mingyu Wang ◽

S. P. Vanka

Keyword(s):

Heat Conduction ◽

Finite Difference ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Unsteady Heat Conduction ◽

Finite Difference Solution ◽

High Order Finite Difference ◽

Difference Solution

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Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.11.020 ◽

2012 ◽

Vol 231 (5) ◽

pp. 2245-2258 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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Positivity-preserving High Order Finite Difference WENO Schemes for Compressible Euler Equations

10.21236/ada557715 ◽

2011 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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A finite difference solution of the Euler equations on non-body-fitted Cartesian grids

Computers & Fluids ◽

10.1016/0045-7930(92)90042-t ◽

1992 ◽

Vol 21 (3) ◽

pp. 331-344 ◽

Author(s):

Koji Morinishi

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Cartesian Grids ◽

Finite Difference Solution ◽

Difference Solution

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Finite difference solution of the 3-D Euler equations using a multistage Runge-Kutta method

Tenth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/bfb0041773 ◽

2006 ◽

pp. 108-112

Author(s):

J. M. Barton ◽

S. K. Yoon

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Kutta Method ◽

Runge Kutta Method ◽

Finite Difference Solution ◽

Runge Kutta ◽

Difference Solution

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Finite Difference Solution of the Linearized Euler Equations

Computational Aeroacoustics ◽

10.1017/cbo9780511802065.006 ◽

2012 ◽

pp. 61-79

Author(s):

Christopher K. W. Tam

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Linearized Euler Equations ◽

Finite Difference Solution ◽

Difference Solution

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Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.927447 ◽

2014 ◽

Vol 92 (6) ◽

pp. 1180-1203 ◽

Author(s):

Weizhang Huang

Keyword(s):

Finite Difference ◽

Time Integration ◽

Diffusion Equations ◽

Moving Mesh ◽

Unconditionally Stable ◽

Convection Diffusion ◽

Finite Difference Solution ◽

High Order Time ◽

Difference Solution

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Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0118-0 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1066-1088 ◽

Author(s):

Tao Xiong ◽

Jing-Mei Qiu ◽

Zhengfu Xu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Weno Scheme ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler ◽

Flux Limiters ◽

High Order Finite Difference

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