STREAMLINE ADAPTIVE GRID METHOD FOR COMPLEX FLOW COMPUTATION

A concept of generating and adapting grids according to flow streamlines is employed in the prediction of complex fluid flows. In general, this method retains the merits of body-fitted coordinates in the near-wall regions. Moreover, this approach generates new coordinate lines according to the streamline patterns of the preceding solution based on either Cartesian or curvilinear grid systems and adapts sufficient grids in regions where high resolutions are needed so that the difficulty of numerical diffusion is significantly reduced, To give systematic coordinate transformations, conservation equations applicable in the general nonorthogonal curvilinear coordinate system are derived by the method of generalized tensors. A treatment of near-wall turbulence suitable in the general curvilinear coordinate system is also presented. The superiorities of the present approach are demonstrated by studying the laminar/turbulent flow over a backward facing step and the flow induced by a two-dimensional turbulent jet...

[1]  R. Aris Vectors, Tensors and the Basic Equations of Fluid Mechanics , 1962 .

[2]  井上 達雄 Tensor Analysis and Continuum Mechanics, Wilhelm Flugge 著, B5版変形, 208頁, 5 520円, 1972年, Springer-Verlag , 1972 .

[3]  W. Flügge,et al.  Tensor Analysis and Continuum Mechanics , 1972 .

[4]  G. D. Raithby,et al.  A critical evaluation of upstream differencing applied to problems involving fluid flow , 1976 .

[5]  J. Stek,et al.  Aerodynamic Throttling of a Two-Dimensional Flow by a Thick Jet , 1976 .

[6]  I. Demirdzic,et al.  A finite-volume method for the prediction of turbulent flow in arbitrary geometries , 1981 .

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

[8]  J. C. Ferreri,et al.  On the accuracy of boundary fitted finite-difference calculations , 1984 .

[9]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[10]  G. D. Raithby,et al.  A method for computing three dimensional flows using non‐orthogonal boundary‐fitted co‐ordinates , 1984 .

[11]  H. Dwyer Grid adaption for problems in fluid dynamics , 1984 .

[12]  Wei Shyy,et al.  Numerical Recirculating Flow Calculation Using a Body-Fitted Coordinate System , 1985 .

[13]  De Groot,et al.  Laser Doppler diagnostics of the flow behind a backward facing step , 1985 .

[14]  A. Popel,et al.  Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates. , 1986, Journal of computational physics.

[15]  P. Eiseman,et al.  Adaptive grid generation , 1987 .

[16]  Suhas V. Patankar,et al.  CALCULATION PROCEDURE FOR VISCOUS INCOMPRESSIBLE FLOWS IN COMPLEX GEOMETRIES , 1988 .

[17]  Y. Chao,et al.  Behaviour of five solution algorithms on turbulent calculations , 1989 .

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

[19]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.