A Moving Mesh Method for the Euler Flow Calculations Using a Directional Monitor Function
Hua-Zhong Tang 1*1 LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China.
Received 10 July 2005; Accepted (in revised version) 14 November 2005
This paper is concerned with the adaptive grid method for computations of the Euler equations in fluid dynamics. The new feature of the present moving mesh algorithm is the use of a dimensional-splitting type monitor function, which is to increase grid concentration in regions containing shock waves and contact discontinuities or their interactions. Several two--dimensional flow problems are computed to demonstrate the effectiveness of the present adaptive grid algorithm.
Notice: Undefined variable: ams in /var/www/html/issue/abstract/readabs.php on line 163
Notice: Undefined variable: pac in /var/www/html/issue/abstract/readabs.php on line 164
Key words: Euler equations; adaptive grid method; finite volume method; monitor function.
Notice: Undefined variable: email in /var/www/html/issue/abstract/readabs.php on line 168
Correspondence to: Hua-Zhong Tang , LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China. Email: email@example.com