In 1963, G. A. Bird published a research note on his investigation of a rigid sphere gas reaching translational equilibrium using a Monte Carlo type method.
Since then, the method has been developed into a primary workhorse to computationally solve the Boltzmann kinetic equation.
As it is increasingly applied to challenging problems in the real world, verification studies of the method have become a critical issue.
In this paper, we review previous studies on this challenging subject and present a perspective on a convergence analysis of the direct simulation Monte Carlo (DSMC) method and solution verification.
During this process, a verification method based on the physical laws of conservation is studied in depth.
In particular, a convergence history plot on all three types of computational errors—decomposition, statistical, and round-off—is presented for two benchmark problems.
Finally, future research topics to maximize the full potential of the DSMC method, pioneered by the late G. A. Bird, are suggested.
직접모사몬테카를로; 확증; 연산에러; 수렴성; 에러예측; Direct simulation Monte Carlo; verification; computational error; convergence; error estimation