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Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the euler equations
, Article Computational Methods in Applied Mathematics ; 2017 ; 16094840 (ISSN) ; Hejranfar, K ; Sharif University of Technology
Abstract
The characteristic boundary conditions are applied and assessed for the solution of incompressible inviscid flows. The two-dimensional incompressible Euler equations based on the artificial compressibility method are considered and then the characteristic boundary conditions are formulated in the generalized curvilinear coordinates and implemented on both the far-field and wall boundaries. A fourth-order compact finite-difference scheme is used to discretize the resulting system of equations. The solution methodology adopted is more suitable for this assessment because the Euler equations and the high-accurate numerical scheme applied are quite sensitive to the treatment of boundary...
Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations
, Article Computational Methods in Applied Mathematics ; Volume 18, Issue 4 , 2018 , Pages 717-740 ; 16094840 (ISSN) ; Hejranfar, K ; Sharif University of Technology
De Gruyter
2018
Abstract
The characteristic boundary conditions are applied and assessed for the solution of incompressible inviscid flows. The two-dimensional incompressible Euler equations based on the artificial compressibility method are considered and then the characteristic boundary conditions are formulated in the generalized curvilinear coordinates and implemented on both the far-field and wall boundaries. A fourth-order compact finite-difference scheme is used to discretize the resulting system of equations. The solution methodology adopted is more suitable for this assessment because the Euler equations and the high-accurate numerical scheme applied are quite sensitive to the treatment of boundary...