Higher-order Multi-dimensional Limiting Strategy for Correction Procedure via Reconstruction

AIAA SciTech, 52nd Aerospace Sciences Meeting 13-17 January 2014, National Harbor, MarylandHigher-order multi-dimensional limiting Process (MLP) [J. S. Park and C. Kim, Higher-order Multi-dimensional Limiting Strategy for Discontinuous Galerkin Methods in Compressible Inviscid and Viscous Flows, Comp. & Fluids, In press] is improved and applied to correction procedure via reconstruction (CPR) on unstructured grids. MLP, which has been originally developed in nite volume method (FVM), provides an accurate, robust and ecient oscillation-control mechanism in multiple dimensions for linear reconstruction. This limiting philosophy can be hierarchically extended into higher-order Pn reconstruction. The resulting algorithms, called the hierarchical MLP, facilitate the accurate capturing of detailed flow structures in both continuous and discontinuous regions. This algorithm has been developed in the modal DG framework, but it also can be formulated into a nodal framework, most notably the CPR framework. Troubled-cells are detected by applying the MLP concept, and the nal accuracy is determined by the projection procedure and MLP limiting step. Through extensive numerical analyses and computations, it is demonstrated that the proposed limiting approach yields the desired accuracy and outstanding performances in resolving compressible inviscid and viscous flow features.This work is supported by NSL (National Space Lab.) program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (Grant 20090091724), by the third stage of the Brain Korea 21 Plus Project in 2013, and by Korea Ministry of Land, Transport and Maritime A airs as Haneul Project. This work is also supported by the KISTI Supercomputing Center (KSC-2012-C3-40) and by PLSI supercomputing resources of KISTI.OAIID:oai:osos.snu.ac.kr:snu2014-01/104/0000004648/1SEQ:1PERF_CD:SNU2014-01EVAL_ITEM_CD:104USER_ID:0000004648ADJUST_YN:NEMP_ID:A001138DEPT_CD:446CITE_RATE:0FILENAME:6%2e2014-0772.pdfDEPT_NM:기계항공공학부EMAIL:chongam@snu.ac.krCONFIRM: