Journal
COMPUTERS & FLUIDS
Volume 154, Issue -, Pages 322-334Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2017.03.006
Keywords
Multi-dimensional limiting process; Multi-dimensional limiting condition; Discontinuous Galerkin methods; Flux reconstruction or correction procedure via reconstruction (FR/CPR); Shock capturing; Unstructured grids
Funding
- program of Development of Space Core Technology [NRF-2015M1A3A3A05027630]
- NSL (National Space Lab.) program through the National Research Foundation of Korea - Ministry of Science, ICT and Future Planning [NRF-2014M1A3A3A02034856]
- KISTI Supercomputing Center [KSC-2013-C3-54]
- National Research Foundation of Korea [2014M1A3A3A02034856] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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The present paper deals with the robust and accurate multi-dimensional limiting process for higher-order discontinuous Galerkin (DG) and flux resconstruction or correction procedure via reconstruction (FR/CPR) methods on tetrahedral meshes. MLP, which has been originally developed in finite volume method (FVM), provides an accurate, robust and efficient oscillation-control mechanism in multiple dimensions for linear approximation. This limiting philosophy can be hierarchically extended into higher-order Pn approximation. The resulting algorithm has been developed for both DG and FR/CPR methods mostly on two-dimensional triangular meshes. This method can be efficiently extended and implemented into three-dimensional tetrahedral meshes. Through extensive numerical computations and comparisons, it is demonstrated that the proposed limiting approach yields the required order-of-accuracy and outstanding performances in resolving three-dimensional compressible inviscid and viscous flow features. (C) 2017 Elsevier Ltd. All rights reserved.
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