Abstract
We have discussed the multidimensional parallel computation for pseudo arc-length moving mesh schemes, and the schemes can be used to capture the strong discontinuity for multidimensional detonations. Different from the traditional Euler numerical schemes, the problems of parallel schemes for pseudo arc-length moving mesh schemes include diagonal processor communications and mesh point communications, which are illustrated by the schematic diagram and key pseudocodes. Finally, the numerical examples are given to show that the pseudo arc-length moving mesh schemes are second-order convergent and can successfully capture the strong numerical strong discontinuity of the detonation wave. In addition, our parallel methods are proved effectively and the computational time is obviously decreased.
Highlights
Detonation is a type of combustion involving a supersonic exothermic front accelerating through a medium that eventually drives a shock front propagating directly in front of it
To capture the strong discontinuity in detonation waves, mesh adaptation is an indispensable tool for use in the efficient numerical solution of this type of problem
The processor communications for the parallel computation of pseudo arc-length moving mesh schemes are more complex than the traditional Euler scheme, and it includes adjacent processor and diagonal processor
Summary
Detonation is a type of combustion involving a supersonic exothermic front accelerating through a medium that eventually drives a shock front propagating directly in front of it. After that, Ning et al have improved this method and proposed the pseudo arc-length moving mesh schemes, which can deal with the multidimensional chemical reaction detonation problem [9]. We will discuss the parallel computation of pseudo arc-length moving mesh schemes for multidimensional detonation. There are no discussions about the parallel computation for moving mesh schemes, which will be of concern in this paper. Different from the traditional Euler numerical scheme, the data communications of moving mesh schemes between processors are more complex, which include physical values and mesh points. The processor communications for pseudo arc-length moving mesh schemes include adjacent processor and diagonal processor. The processor communications for the parallel computation of pseudo arc-length moving mesh schemes are more complex than the traditional Euler scheme, and it includes adjacent processor and diagonal processor.
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