The computation of fluid field under nonorthogonal curvilinear coordinate systems

Using the algebra method of building body-fitted coordinate,a trapeziform region from physical domain to computational domain was transformed and the boundary conditions were also transformed from physical domain to computational domain accordingly.The body-fitted transformation equation was used to disperse and compute the dominate equation of fluid field,producing the body-fitted grids of the physical domain of the trapeziform region.Simultaneously,nonorthogonal curvilinear coordinate systems were applied to simulate and compute the fluid field of a random angled trapeziform region.The simulated fluid was compared with that gained by orthogonal curvilinear coordinate systems under the same condition.So the validity and feasibility of nonorthogonal curvilinear coordinate methods were illuminated.