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Application of GDQ Scheme to Solve Incompressible Navier-Stokes Equations in the Curvilinear Coordinate System
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Abstract
In this paper, a global method of generalized differential quadrature (GDQ) is applied to solve the two-dimensional incompressible Navier-Stokes equations in the curvilinear coordinate system. The vorticity-stream function formulation was used. Numerical results for a smooth expansion channel flow demonstrated that accurate numerical results can be obtained using a considerably small number of grid points.
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Shu, C. and Chew, Y., "Application of GDQ Scheme to Solve Incompressible Navier-Stokes Equations in the Curvilinear Coordinate System," SAE Technical Paper 940029, 1994, https://doi.org/10.4271/940029.Also In
References
- Shu C. Richards, B.E. “Application of Generalized Differential Quadrature to Solve Two-Dimensional Incompressible Navier-Stokes Equations” Int. J. Numer. Methods Fluids 15 791 798 1992
- Shu C. Richards, B.E. “Parallel Simulation of Incompressible Viscous Flows by Generalized Differential Quadrature” Computing Systems in Engineering 3 271 281 1992
- Bellman, R. Kashef, B.G. Casti, J. “Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equations” J. Comput. Phys. 10 1972
- Civan F. Sliepcevich C.M. “Application of Differential Quadrature to Transport Processes” J. Math. Anal. Appl. 93 206 221 1983
- Civan F. Sliepcevich C.M. “Differential Quadrature for Multi-Dimensional Problems” J. Math. Anal. Appl. 101 423 443 1984
- Jang S.K. Bert C.M. Striz A.G. “Application of Differential Quadrature to Static Analysis of Structural Components” Int. J. Numer. Methods Eng. 28 561 577 1989
- Napolitano M. Orlandi P. “Laminar Flow in a Complex Geometry: A Comparison” Int. J. Numer. Methods Fluids 5 667 683 1985
- Roache P. “Scaling of High Reynolds Number Weakly Separated Channel Flows” Symposium on Numerical and Physical Aspects of Aerodynamic Flows 1981