E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme
نویسندگان
چکیده
An E-CUSP (energy-convective upwind and split pressure) scheme is developed to solve the equations of magnetohydrodynamics. Fifth order WENO reconstructions are employed to calculate the fluxes in order to achieve high order spacial accuracy. A characteristic speed of sound by averaging the fast wave speed and the acoustic speed of sound is suggested to evaluate the Mach number, which will yield robust and accurate solutions. The numerical experiments have demonstrated the accuracy and the capability of the new scheme to capture complex interactions of multiple shocks and vortices. 2012 Elsevier Inc. All rights reserved.
منابع مشابه
Low diffusion E-CUSP scheme with high order WENO scheme for preconditioned Navier-Stokes equations
A low diffusion E-CUSP (LDE) scheme for preconditioned Navier-Stokes equations is developed. With unfactored implicit Gauss-Seidel relaxation scheme for time integration, the LDE scheme with high-order WENO reconstruction is used to simulate several flows at various speed from low speed natural convection to supersonic flows. Numerical results are presented to show efficiency, accuracy and robu...
متن کاملE-CUSP Scheme for the Equations of Magnetothydrodynamics with High Order WENO Scheme
An E-CUSP scheme is developed to solve the equations of magnetothydrodynamics. A fifth order WENO reconstructions are employed to calculate the fluxes in order to achieve high order spacial accuracy. Four standard testing cases, including two one-dimensional problems, the 2D Kelvin-Helmholtz instability and the Orszag-Tang MHD turbulence problem, are solved to validate the accuracy and robustne...
متن کاملAccelerating high-order WENO schemes using two heterogeneous GPUs
A double-GPU code is developed to accelerate WENO schemes. The test problem is a compressible viscous flow. The convective terms are discretized using third- to ninth-order WENO schemes and the viscous terms are discretized by the standard fourth-order central scheme. The code written in CUDA programming language is developed by modifying a single-GPU code. The OpenMP library is used for parall...
متن کاملApproximation of stochastic advection diffusion equations with finite difference scheme
In this paper, a high-order and conditionally stable stochastic difference scheme is proposed for the numerical solution of $rm Ithat{o}$ stochastic advection diffusion equation with one dimensional white noise process. We applied a finite difference approximation of fourth-order for discretizing space spatial derivative of this equation. The main properties of deterministic difference schemes,...
متن کاملADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement
We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained through a WENO reconstruction, while a high order one-step time discretization is achieved using a local space-time discontinuous Galerkin predictor method. Due to the one-step nature of the underlying scheme, the resul...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Comput. Physics
دوره 231 شماره
صفحات -
تاریخ انتشار 2012