双曲型守恒律方程的线性高分辨率格式：TVB数值证据
Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence
摘要：
Osher-Chakrabarthy族的线性通量修改计划被认为是。提供了改进的压缩因子的下限，这表明使用无限版本的可行性。LLF通量公式与这些计划相结合，以获得有效的有限差分算法。所得到的方案被应用到一组数值试验，从平流和Burgers方程到Euler和MHD方程，包括双马赫反射和Orszag-Tang二维涡问题。全变差有界行为在所有情况下都是明显的，即使是与时间无关的上界。所提出的计划，但是，不正确处理复合冲击，所产生的非凸通量，如所示的巴克利-Leverett测试模拟。
英文摘要：
The Osher-Chakrabarthy family of linear flux-modification schemes is considered. Improved lower bounds on the compression factors are provided, which suggest the viability of using the unlimited version. The LLF flux formula is combined with these schemes in order to obtain efficient finite-difference algorithms. The resulting schemes are applied to a battery of numerical tests, going from advection and Burgers equations to Euler and MHD equations, including the double Mach reflection and the Orszag-Tang 2D vortex problem. Total-variation-bounded behavior is evident in all cases, even with time-independent upper bounds. The proposed schemes, however, do not deal properly with compound shocks, arising from non-convex fluxes, as shown by Buckley-Leverett test simulations.
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