Evaluation of FIDAP on some classical laminar and turbulent benchmarks. [FluId Dynamics Analysis Package

Numerical solutions of the Fluid Dynamics Analysis Package (FIDAP) for some laminar and turbulent flow problems, namely (1) two-dimensional laminar flow inside a wall-driven cavity, (2) two-dimensional laminar flow over a backward-facing step and (3) two-dimensional turbulent flow over a backward-facing step, are presented. The consistent integration penalty finite element method is used with Q2/P1 (nine-node biquadratic velocity with linear discontinuous pressure) finite elements. Results of FIDAP on the above problems are compared with other numerical solutions and experimental data to evaluate its numerical accuracy. The influence of streamline upwinding is also investigated for all the test cases.

[1]  Robert L. Lee,et al.  A MODIFIED FINITE ELEMENT METHOD FOR SOLVING THE TIME-DEPENDENT, INCOMPRESSIBLE NAVIER-STOKES EQUATIONS. PART 1: THEORY* , 1984 .

[2]  James P. Johnston,et al.  Investigation of a Reattaching Turbulent Shear Layer: Flow Over a Backward-Facing Step , 1980 .

[3]  J. Tinsley Oden,et al.  Stability of some mixed finite element methods for Stokesian flows , 1984 .

[4]  A. B. Strong,et al.  Numerical predictions of flows over backward‐facing steps , 1984 .

[5]  Robert L. Lee,et al.  Don''t suppress the wiggles|they''re telling you something! Computers and Fluids , 1981 .

[6]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[7]  P. Hood,et al.  A numerical solution of the Navier-Stokes equations using the finite element technique , 1973 .

[8]  O. C. Zienkiewicz,et al.  Finite element methods for second order differential equations with significant first derivatives , 1976 .

[9]  P TaylorC.Hood,et al.  Navier-Stokes equations using mixed interpolation , 1974 .

[10]  B. Armaly,et al.  Experimental and theoretical investigation of backward-facing step flow , 1983, Journal of Fluid Mechanics.

[11]  Robert L. Lee,et al.  A comparison of various mixed-interpolation finite elements in the velocity-pressure formulation of the Navier-Stokes equations☆ , 1978 .

[12]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[13]  J. Tinsley Oden,et al.  Analysis of Flow of Viscous Fluids by the Finite-Element Method , 1972 .

[14]  S J Kline,et al.  The 1980-81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows: Comparison of Computation & Experiment. , 1982 .

[15]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[16]  Robert L. Lee,et al.  The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier‐Stokes equations: Part 2 , 1981 .

[17]  R. L. Sani,et al.  Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements , 1982 .

[18]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .