A PRESSURE-BASED METHOD FOR UNSTRUCTURED MESHES

References

• A. Jameson , T. J. Baker , N. P. Weatherhill , Calculation of Inviscid Flow over a Complete Aircraft, A1AA-86–0103 , 1986 .
   Google Scholar
• D. Mavriplis , A. Jameson , and L. Martinelli , Multigrid Solution of the Navier-Stokes Equations on Triangular Meshes, AIAA-89–0120 , 1989 .
   Google Scholar
• A. J. Chorin , A Numerical Method for Solving Incompressible Viscous Flow Problems , J. Comput. Phys. , vol. 2 , pp. 12 – 26 , 1967 .
   Google Scholar
• D. Kwak , J. L. Chang , S. P. Shanks , and S. R. Chakravarthy , A Three-Dimensional Incompressible Navier-Stokes Flow Solver Using Primitive Variables , AIAA J. , vol. 23 , pp. 390 – 396 , 1985 .
   Google Scholar
• J. M. Weiss and W. A. Smith , Solution of Unsteady, Low Mach Number Flow Using a Preconditioned, Multi-Stage Scheme on an Unstructured Mesh, AIAA-93–3392 , 1993 .
   Google Scholar
• J. M. Weiss and W. A. Smith , Preconditioning Applied to Variable and Constant Density Time-Accurate Flows on Unstructured Meshes, AIAA-94–2209 , 1994 .
   Google Scholar
• V. Venkatakrishnan and D. Mavriplis , Implicit Solvers for Unstructured Meshes , AIAA 10th CFD Conf. Proc. , pp. 115 – 124 , 1991 .
   Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , McGraw-Hill , New York , 1980 .
   Google Scholar
• P. Hood and C. Taylor , Navier-Stokes Equations Using Mixed Interpolations, in J. T. Oden, O. C. Zienkiewicz, R. H. Gallagher, and C. Taylor (eds.) , Finite Element Methods in Flow Problems , pp. 121 – 132 , UAH Press , Huntsville , AL , 1974 .
   Google Scholar
• P. S. Huyakorn , C. Taylor , R. L. Lee , and P. M. Gresho , A Comparison of Various Mixed-Interpolation Finite Elements in the Velocity-Pressure Formulation of the Navier-Stokes Equations , Computers and Fluids , vol. 6 , pp. 25 – 35 , 1978 .
   Web of Science ®Google Scholar
• T. E. Tezduyar , R. Shih , S. Mittal , and S. E. Ray , Incompressible Flow Computations with Stabilized Bilinear and Linear Equal-Order Interpolation Velocity-Pressure Elements , University of Minnesota Supercomputer Institute Research Report UMSI90/ 165 , 1990 .
   Google Scholar
• A. N. Brooks and T. J. R. Hughes , Streamline Upwind/Petrov-Galerkin Formulations for Convection-Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations , Comput. Meth. Appl. Mech. Eng. , vol. 32 , pp. 199 – 259 , 1982 .
   Web of Science ®Google Scholar
• B. R. Baliga and S. V. Patankar , A Control-Volume Finite Element Method for Two-Dimensional Fluid Flow and Heat Transfer , Numer. Heat Transfer , vol. 6 , pp. 245 – 261 , 1983 .
   Google Scholar
• G. E. Schneider and M. J. Raw , Control-Volume Finite-Element Method for Heat Transfer and Fluid Flow Using Co-Located Variables—1. Computational Procedures , Numer. Heat Transfer , vol. 11 , pp. 363 – 390 , 1987 .
   Web of Science ®Google Scholar
• C. Prakash and S. V. Patankar , A Control-Volume Based Finite Element Method for Solving the Navier-Stokes Equations Using Equal-Order Velocity-Pressure Interpolation , Numer. Heat Transfer , vol. 8 , pp. 259 – 280 , 1985 .
   Web of Science ®Google Scholar
• Y. Jiang and A. J. Przekwas , Implicit, Pressure-Based Incompressible Navier-Stokes Equations Solver for Unstructured Meshes , AIAA-94–0305 , 1994 .
   Google Scholar
• I. Demirdzic and S. Muzaferija , Numerical Method for Coupled Fluid Flow, Heat Transfer and Stress Analysis Using Unstructured Moving Meshes with Cells of Arbitrary Topology , Comput. Meth. Appl. Mech. Eng. , vol. 125 , pp. 235 – 255 , 1995 .
   Web of Science ®Google Scholar
• L. Davidson , A Pressure Correction Method for Unstructured Meshes with Arbitrary Control Volumes , Int. J. Numer. Meth. Fluids , vol. 22 , pp. 265 – 281 , 1996 .
   Web of Science ®Google Scholar
• M. Peric , A Finite Volume Method for the Prediction of Three-Dimensional Fluid Flow in Complex Ducts, Ph.D. Thesis , University of London , UK , 1985 .
   Google Scholar
• K. C. Karki and S. V. Patankar , Pressure Based Calculation Procedure for Viscous Flows at All Speeds in Arbitrary Configurations , AIAA J. , vol. 27 , pp. 1167 – 1174 , 1989 .
   Google Scholar
• M. Thomadakis and M. Leschziner , Numerical Simulation of Viscous Incompressible Flows Using a Pressure-Correction Method and Unstructured Grids , in Computational Fluid Dynamics 94 , pp. 325 – 332 , John Wiley and Sons , Chichester , UK , 1994 .
   Google Scholar
• T. J. Barth , Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations, Special Course on Unstructured Grid Methods for Advection Dominated Flows , AGARD Report 787 , 1992 .
   Google Scholar
• V. Venkatakrishnan , On the Accuracy of Limiters and Convergence to Steady State Solutions , AIAA 93 – 0880 , Jan 1993 .
   Google Scholar
• B. R. Hutchinson and G. D. Raithby , A Multigrid Method Based on the Additive Correction Strategy , Numer. Heat Transfer , vol. 9 , pp. 511 – 537 , 1986 .
   Web of Science ®Google Scholar
• R. D. Lonsdale , An Algebraic Multigrid Scheme for Solving the Navier-Stokes Equations on Unstructured Meshes , Proc. 7th Int. Conf. on Numerical Methods in Laminar and Turbulent Flow , pp. 1432 – 1442 , Stanford University , Palo Alto , CA , 1991 .
   Google Scholar
• A. Brandt , Multi-Level Adaptive Solutions to Boundary Value Problems , Math. Comput. , vol. 31 , pp. 333 – 390 , 1977 .
   Web of Science ®Google Scholar
• C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , AIAA J. , vol. 21 , pp. 1523 – 1532 , 1983 .
   Google Scholar
• S. Majumdar , Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids , Numer. Heat Transfer , vol. 13 , pp. 125 – 132 , 1988 .
   Web of Science ®Google Scholar
• K. H. Chen and R. H. Pletcher , Primitive Variable, Strongly Implicit Calculation Procedure for Viscous Flows at All Speeds , AIAA J. , vol. 29 , 1241 – 1249 , 1991 .
   Google Scholar
• K. H. Chen , A Primitive Variable, Strongly Implicit Calculation Procedure for Two and Three-Dimensional Unsteady Viscous Flows Applications to Compressible and Incompressible Flows Including Flows with Free Surfaces, Ph.D. thesis , Iowa State University , Ames , IA , 1990 .
   Google Scholar
• H. Ku , R. Hirsch , and T. Taylor , A Pseudospectral Method for Solution of Three Dimensional Navier-Stokes Equations , J. Comput. Phys. , vol. 70 , pp. 439 – 462 , 1987 .
   Web of Science ®Google Scholar
• M. Rosenfeld , D. Kwak , and M. Vinokur , A Solution Method for the Unsteady and Incompressible Navier-Stokes Equations in Generalized Coordinate Systems , AIAA-88–0718 , 1988 .
   Google Scholar
• I. Demirdzic , Z. Lilek , and M. Peric , Fluid Flow and Heat Transfer Test Problems for Non-Orthogonal Grids Bench-Mark Solutions , Int. J. Numer. Meth. Fluids , vol. 15 , pp. 329 – 354 , 1992 .
   Web of Science ®Google Scholar
• R. Jyotsna and S. P. Vanka , Multigrid Calculation of Steady, Viscous Flow in a Triangular Cavity , J. Comput. Phys. , vol. 122 , pp. 107 – 117 , 1995 .
   Web of Science ®Google Scholar
• R. Webster , An Algebraic Multigrid Solver for Navier-Stokes Problems , Int. J. Numer. Meth. Fluids , vol. 18 , pp. 761 – 780 , 1994 .
   Web of Science ®Google Scholar