Simulation of shock-induced instability using an essentially conservative adaptive CE/SE method

doi:10.1088/1674-1056/23/2/020202

Abstract An essentially conservative adaptive space time conservation element and solution element (CE/SE) method is proposed for the effective simulation of shock-induced instability with low computational cost. Its implementation is based on redefined conservation elements (CEs) and solution elements (SEs), optimized interpolations and a Courant number insensitive CE/SE scheme. This approach is used in two applications, the Woodward double Mach reflection and a two-component Richtmyer–Meshkov instability experiment. This scheme reveals the essential features of the investigated cases, captures small unstable structures, and yields a solution that is consistent with the results from experiments or other high order methods.

Keywords: CE/SE method shock-induced instability adaptive mesh refinement

Received: 29 April 2013
Revised: 27 May 2013
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	47.11.-j	(Computational methods in fluid dynamics)
	47.40.Nm	(Shock wave interactions and shock effects)
	47.20.Cq	(Inviscid instability)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10732010, 10972010, and 11028206) and the Opening Project of State Key Laboratory of Explosion Science and Technology, China (Grant No. KFJJ13-5M).

Corresponding Authors: Liu Kai-Xin, Luo Ning
E-mail: kliu@pku.edu.cn;ningl@pku.edu.cn

About author: 02.60.Cb; 47.11.-j; 47.40.Nm; 47.20.Cq

Cite this article:

Fu Zheng (付峥), Liu Kai-Xin (刘凯欣), Luo Ning (罗宁) Simulation of shock-induced instability using an essentially conservative adaptive CE/SE method 2014 Chin. Phys. B 23 020202

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[1]	An improved two-dimensional unstructured CE/SE scheme for capturing shock waves Fu Zheng(付峥) and Liu Kai-Xin(刘凯欣) . Chin. Phys. B, 2012, 21(4): 040202.

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