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DOE OSTI · 1510253

A Characteristic-Based Spectral Element Method for Moving-Domain Problems

Patel, Saumil·Fischer, Paul·Min, Misun·Tomboulides, Ananias
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Abstract

Here, we introduce a characteristic-based numerical procedure for simulating incompressible flows in domains with moving boundaries. Our approach utilizes an operator-integration-factor splitting technique to help produce an efficient and stable numerical scheme. Using the spectral element method and an arbitrary Lagrangian-Eulerian formulation, we explore flows where the convective acceleration effects are non-negligible. Several examples, ranging from laminar to turbulent flows, are considered. Comparisons with a standard, semi-implicit time-stepping procedure illustrate the improved performance of our scheme.

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97 MATHEMATICS AND COMPUTINGNavier-Stokes equationsSpectral Element Methodarbitrary Lagrangian-Eulerian methodscharacteristicsin-cylinder engine flowsoperator-integration-factor splitting

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Patel, Saumil, Fischer, Paul, Min, Misun, Tomboulides, Ananias. 2018-12-03. A Characteristic-Based Spectral Element Method for Moving-Domain Problems. https://doi.org/10.1007/s10915-018-0876-6

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