Remarks on High-Resolution Split Schemes Computation
Remarks on High-Resolution Split Schemes Computation
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DOI：
10.1137/s1064827599345248
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发表时间：
2000-03
期刊：
影响因子：
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通讯作者：
M. Ben-Artzi;J. Falcovitz;U. Feldman
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文献类型：
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作者：
M. Ben-Artzi;J. Falcovitz;U. Feldman
将可压缩流动的高分辨率广义Riemann问题(GRP)守恒律格式与Strang型算子分裂相结合，用于计算具有不连续初值的初值问题。初始数据在笛卡儿网格上的不完美表示，当使用高分辨率积分和算子分裂时，不连续的平滑曲线被锯齿线近似，会产生伪波。通过与一维模型的比较，阐明了这些波的性质。我们证明，引起这些波动的不是算子分裂，而是双曲(一维)求解器的较好质量，它不会因算子分裂而退化。预计这种保留原始数据尖锐特征的性质也将被其他二阶守恒律格式所产生。
The high-resolution generalized Riemann problem (GRP) conservation laws scheme for compressible flows combined with Strang-type operator splitting is applied to computing an initial value problem having a discontinuous initial data. Imperfect representation of the initial data on the Cartesian grid, where the smooth curve of discontinuity is approximated by a jagged line, gives rise to spurious waves when using high-resolution integration with operator splitting. The nature of these waves is clarified by comparison to a one-dimensional model. We demonstrate that it is not the operator splitting that gives rise to these waves, but rather the better quality of the hyperbolic (one-dimensional) solver, which is not degraded by the operator splitting. It is expected that this property of retaining sharp features of initial data will also be produced by other second-order conservation laws schemes.