数学杂志2024，Vol.44Issue(1)：73-83,11.
一种基于欧拉方程通量分裂的五阶有限差分共权多分辨率WENO格式
A FIFTH-ORDER FINITE DIFFERENCE COMMON-WEIGHTS MULTI-RESOLUTION WENO SCHEME BASED ON THE FLUX VECTOR SPLITTING FOR EULER EQUATIONS
摘要
Abstract
This article studies the high-precision numerical solution of Euler equations and introduces the common-weights idea into the multi-resolution WENO numerical scheme,obtaining a new fifth-order finite difference common-weights multi-resolution WENO scheme.Numerical experiments have shown that this method can achieve consistent high accuracy in the smooth region of the solution and maintain the essentially oscillatory nature of the numerical solution near strong discontinuities,thus verifying the effectiveness of the algorithm.关键词
欧拉方程/多分辨率WENO格式/共权Key words
euler equations/multi-resolution WENO scheme/common-weights分类
数理科学引用本文复制引用
张学莹,吴杨炯..一种基于欧拉方程通量分裂的五阶有限差分共权多分辨率WENO格式[J].数学杂志,2024,44(1):73-83,11.基金项目
河海大学2023年新工科、新农科、新文科研究与改革实践项目资助(B2301914) （B2301914）
河海大学2023年研究生"课程思政"示范课程建设项目资助(421203160). （421203160）
