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Showing 1 to 2 of 2 for “"Summation-by-Parts (SBP)"”.
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Time-stable high-order finite difference methods for overset grids
… treatments for overset grids are stabilized by adding numerical dissipation without any underlying theoretical analysis, impacting the accuracy and the conservation properties of the original method. In this work we discuss the construction of a provably time-stable and conservative method …
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High-Order Positivity-Preserving <i>L<sub>2</sub></i>-Stable Spectral Collocation Schemes for the 3-D Compressible Navier-Stokes Equations
… viscous flows. The new schemes are constructed by combining a positivity-violating entropy stable method of arbitrary order of accuracy and a novel first-order positivity-preserving entropy stable method discretized on the same Legendre-Gauss-Lobatto (LGL) collocation points used for the …