西南师范大学学报（自然科学版）
西南師範大學學報（自然科學版）
서남사범대학학보（자연과학판）
JOURNAL OF SOUTHWEST CHINA NORMAL UNIVERSITY
2010年
2期
58-63
,共6页
双曲型守恒律%高阶精度%离散GDQ方法%TVB格式%Runge-Kutta TVD时间离散
雙麯型守恆律%高階精度%離散GDQ方法%TVB格式%Runge-Kutta TVD時間離散
쌍곡형수항률%고계정도%리산GDQ방법%TVB격식%Runge-Kutta TVD시간리산
hyperbolic conservation laws%high-order accuracy discontinuous GDQ methods%TVB scheme%Runge-Kutta TVD time discretization
构造了一维非线性双曲型守恒律的一类局部化的高效全离散差分格式,并将该格式推广到一维守恒方程组及二维守恒方程(组).最后,给出了几个标准算例.数值计算结果表明此格式具有高精度高分辨激波、稀疏波和接触间断,且边界条件易于处理等优点.
構造瞭一維非線性雙麯型守恆律的一類跼部化的高效全離散差分格式,併將該格式推廣到一維守恆方程組及二維守恆方程(組).最後,給齣瞭幾箇標準算例.數值計算結果錶明此格式具有高精度高分辨激波、稀疏波和接觸間斷,且邊界條件易于處理等優點.
구조료일유비선성쌍곡형수항률적일류국부화적고효전리산차분격식,병장해격식추엄도일유수항방정조급이유수항방정(조).최후,급출료궤개표준산례.수치계산결과표명차격식구유고정도고분변격파、희소파화접촉간단,차변계조건역우처리등우점.
In this paper, a class of localized high-resolution fully discretization difference schemes is presented for one dimensional nonlinear hyperbolic conservation laws. And then the scheme is extended to solve one dimensional and two dimensional hyperbolic conservation laws and system. Finally, several typical numerical experiments on Euler equations are given. The numerical results show that these schemes have the advantages of high-order accuracy and high resolution of shock, rarefaction wave and contact discontinuity and easy to treat boundary conditions.
