Higher-order multi-dimensional limiting process for DG and FR/CPR methods on tetrahedral meshes

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.OAIID:RECH_ACHV_DSTSH_NO:T201711935RECH_ACHV_FG:RR00200001ADJUST_YN:EMP_ID:A001138CITE_RATE:2.221FILENAME:김종암_국제논문_201703_박진석(타).pdfDEPT_NM:기계항공공학부EMAIL:chongam@snu.ac.krSCOPUS_YN:YFILEURL:https://srnd.snu.ac.kr/eXrepEIR/fws/file/5ee7163e-d677-4eb5-b31b-a46a60b441a9/linkN