Basic approaches to the Monte-Carlo method construction in computational aerodynamics
Mathematics. Physics. Mechanics
Moscow Institute of Physics and Technology, 9, Institutskiy per., Dolgoprudny, Moscow region, 141701, Russia
AbstractThe development of numerical statistical method in rarefied gas dynamics relates with the usage of statistical modeling Monte-Carlo method in the first place. It has been used for calculation collision integral in regular finite-different program for solving kinetic equations, solution of integral equation, direct statistical simulation. Currently, most general methods for solving problems in rarefied gas dynamics present direct statistical simulation method. In this case, it is impossible without handling kinetic equations. The present work views general approach to construct Monte-Carlo method.
Keywords:Monte-Carlo method, rarefied gas dynamics equation, kinetic equations, directs statistical simulation method