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	PARTICLE METHOD AND ITS CONVERGENCE FOR SCALAR CONSERVATION-LAWS
	TENG, ZH
	1992
关键词	PARTICLE METHOD SCALAR CONSERVATION LAWS ADAPTIVE METHOD FLOW SIMULATION
英文摘要	A particle method is presented for solving the scalar conservation laws. The stability of the method is analyzed and its convergence to the unique entropy solution is proved. The main feature of this method is that particles with same sign of mass are allowed to interpenetrate, but those with different sign of mass cancel each other when they meet in their movement. This feature makes the method highly adaptive. Another main feature of this method is that its convergence to the entropy solution in the L1 norm is proved even if it is not written in conservation form and the L1 convergent rate for the Riemann solutions, a shock wave or a rarefaction wave, is shown to be the order of O(epsilon-2+DELTA-t) or O(epsilon-2), respectively, where epsilon and DELTA-t are the size of the particle mass and the timestep (the total number of particles is O(epsilon-1)). Some numerical experiments are presented to illustrate the performance of this method.; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; 4; 1020-1042; 29
语种	英语
出处	EI ; SCI
出版者	siam journal on numerical analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315216]
专题	数学科学学院
推荐引用方式 GB/T 7714	TENG, ZH. PARTICLE METHOD AND ITS CONVERGENCE FOR SCALAR CONSERVATION-LAWS. 1992-01-01.

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