标题： MUSCL型有限体积格式中的约束重构 显示英文标题

标题： Constrained Reconstruction in MUSCL-type Finite Volume Schemes

摘要： 在本文中，我们关注任意空间维数下MUSCL型有限体积格式的稳定性。 我们考虑了一些受限重构技术，这些技术是通过单个网格单元上的不等式约束线性或二次规划问题来定义的。 不对网格的连续性或其单元的形状做出任何限制。 在笛卡尔网格的特殊情况下，一种新的QP重构被证明与广泛使用的Minmod重构一致。 稳定二阶有限体积格式的准确性和整体效率得到了数值实验的支持。 显示英文摘要

摘要： In this paper we are concerned with the stabilization of MUSCL-type finite volume schemes in arbitrary space dimensions. We consider a number of limited reconstruction techniques which are defined in terms inequality-constrained linear or quadratic programming problems on individual grid elements. No restrictions to the conformity of the grid or the shape of its elements are made. In the special case of Cartesian meshes a novel QP reconstruction is shown to coincide with the widely used Minmod reconstruction. The accuracy and overall efficiency of the stabilized second-order finite volume schemes is supported by numerical experiments.