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首页> 外文会议>AIAA aviation forum;AIAA fluid dynamics conference >Accuracy Enhancement of a Riemann-Solver-Free Spacetime Discontinuous Galerkin Method via Constrained Least Square Reconstruction
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Accuracy Enhancement of a Riemann-Solver-Free Spacetime Discontinuous Galerkin Method via Constrained Least Square Reconstruction

机译：约束最小二乘重建提高无黎曼解时空不连续伽勒金方法的精度

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摘要

In this paper, a constrained least square reconstruction procedure is described to construct cubic polynomials based on linear solution polynomials (the solution and its gradients). The process is applied to enhance the accuracy of a spacetime discontinuous Galerkin solver employing linear basis functions. The reconstruction preserves the cell averages. Numerical tests demonstrate the enhanced accuracy of the solution after reconstruction. Such reconstruction process is able to produce high resolution solutions without large number of unknowns in the current high-order spacetime DG method.
机译：本文介绍了一种受约束的最小二乘重建程序，用于基于线性解多项式（解及其梯度）构造三次多项式。该过程用于提高采用线性基函数的时空不连续Galerkin求解器的精度。重建保留了单元的平均值。数值测试证明了重构后解决方案的提高的准确性。在当前的高阶时空DG方法中，这种重构过程能够生成高分辨率解决方案，而不会出现大量未知数。

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