Solver with the Differential Algebraic Cubic Interpolated Propagation Scheme on Massively Parallel Computer
Parallel Algorithms / Architecture Synthesis, AIZU International Symposium on (1997)
Aizu-Wakamatsu, Fukushima, JAPAN
Mar. 17, 1997 to Mar. 21, 1997
An method for solving hydrodynamic equations with the differential algebraic - cubic interpolated propagation (DA-CIP) scheme on massively parallel computer is presented. The scheme uses a spatial profile interpolated with cubic polynomials within the grid cells, is formulated straightforwardly from the equations of motion describing the system without algorithmically specific parameters, and applies the numerical integration method for the ordinary differential equations such as the Runge-Kutta integration method without using the concept of finite-difference or finite volume method. Therefore, the scheme is efficiently implemented based on the Single Program Multiple Data (SPMD) model and has been applied to simulate the pressure waves in gas generated by an impulsive heating of a solid boundary on the massively parallel processor Intel Paragon.
K. Tani and T. Utsumi, "Solver with the Differential Algebraic Cubic Interpolated Propagation Scheme on Massively Parallel Computer," Parallel Algorithms / Architecture Synthesis, AIZU International Symposium on(PAS), Aizu-Wakamatsu, Fukushima, JAPAN, 1997, pp. 200.