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求解双曲守恒律方程的WENO型熵相容格式
引用本文:程晓晗,封建湖,聂玉峰.求解双曲守恒律方程的WENO型熵相容格式[J].爆炸与冲击,2014,34(4):501-507.
作者姓名:程晓晗  封建湖  聂玉峰
作者单位:1.西北工业大学应用数学系,陕西 西安 710072
基金项目:国家自然科学基金项目(11171043);中央高校基本科研业务费专项项目(CHD2010JC060);西北工业大学博士论文创新基金项目(CX201426)~~
摘    要:通过在单元交界面处进行高阶WENO重构,得到了一种求解双曲型守恒律方程的WENO型熵相容格式。用该格式对一维Burgers方程和Euler方程进行数值模拟,结果表明,该格式具有高精度、基本无振荡性等特点。

关 键 词:流体力学    WENO型熵相容格式    WENO重构    双曲守恒律
收稿时间:2012-11-22

WENO type entropy consistent scheme for hyperbolic conservation laws
Institution:1.Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, Shaanxi, China2.College of Science, Chang'an University, Xi'an 710064, Shaanxi, China
Abstract:Compared with entropy stable schemes, entropy consistent schemes control entropy production more exactly and effectively eliminate phenomena such as expansion shocks and spurious oscillations. By using WENO (weighted essentially non-oscillatory) reconstruction of higher order at cell interfaces, a WENO type entropy consistent scheme for hyperbolic conservation laws is presented. The one-dimentional Burgers equation and Euler equations are used to test the proposed scheme. The numerical experiments demonstrate that the scheme is accurate and essentially non-oscillatory.
Keywords:
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