Upwind difference schemes for hyperbolic systems of conservation laws
Upwind difference schemes for hyperbolic systems of conservation laws
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DOI：
10.1090/s0025-5718-1982-0645656-0
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发表时间：
1982-05
影响因子：
2
通讯作者：
S. Osher;Frederick Solomon
中科院分区：
文献类型：
--
作者：
S. Osher;Frederick Solomon
我们给出了一种新的非线性双曲型守恒律组的迎风差分逼近。该格式具有理想的激波计算特性。在相当一般的假设下，我们证明了极限解满足熵条件，并且存在唯一且尖锐的离散稳态激波。给出了一维和二维可压缩气体动力学的欧拉方程和拉格朗日方程的数值算例。
We derive a new upwind finite difference approximation to systems of nonlinear hyperbolic conservation laws. The scheme has desirable properties for shock calculations. Under fairly general hypotheses we prove that limit solutions satisfy the entropy condition and that discrete steady shocks exist which are unique and sharp. Numerical examples involving the Euler and Lagrange equations of compressible gas dynamics in one and two space dimensions are given.