In this paper, the equivalent equations of DLR k − turbulent model in the boundary-fitted curvilinear coordinate are employed. Using the upwind idea that the contribution of the difference coefficients to the main node is positive contribution, and the other nodes are negative contribution or no contribution, new five-point difference schemes with a full diagonally dominant coefficient matrix (5-point-DD difference scheme) are constructed. Finally, taking the u equation in the DLR k− turbulent model as an example, the mathematical characteristics of the 5-point-DD difference scheme are analyzed, and the uniform boundedness and convergence theorems of the Gauss-Seidel iterative sequence are given. Numerical simulations show that the five-point schemes are strictly diagonally dominant, and the calculated results are in good agreement with the experimental results. KEYWORDS conical diffuser, convergence, DLR k − turbulent model, strictly diagonally dominant matrix, 5-point-DD difference scheme Int J Numer Meth Fluids. 2020;92:189-211.wileyonlinelibrary.com/journal/fld
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.