High Order ADER Schemes for Continuum Mechanics
نویسندگان
چکیده
منابع مشابه
Analysis of ADER and ADER-WAF schemes
We study stability properties and truncation errors of the finite-volume ADER schemes on structured meshes as applied to the linear advection equation with constant coefficients in one-, twoand threespatial dimensions. Stability of linear ADER schemes is analysed by means of the von Neumann method. For nonlinear schemes, we deduce the stability region from numerical experiments. The truncation ...
متن کاملADER schemes and high order coupling on networks of hyperbolic conservation laws
In this article we present a method to extend high order finite volume schemes to networks of hyperbolic conservation laws with algebraic coupling conditions. This method is based on an ADER approach in time to solve the generalized Riemann problem at the junction. Additionally to the high order accuracy, this approach maintains an exact conservation of quantities if stated by the coupling cond...
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 کاملHigh Order Compact Finite Difference Schemes for Solving Bratu-Type Equations
In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the ...
متن کاملThe comparison of two high-order semi-discrete central schemes for solving hyperbolic conservation laws
This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Frontiers in Physics
سال: 2020
ISSN: 2296-424X
DOI: 10.3389/fphy.2020.00032