A multi-grid, flux-difference-split, finite-volume code, VULCAN, is presented for solving the eliptic and parabolized form of the equations governing three-dimensional, turbulent, calorically perfect and non-equilibrium chemically reacting flows. The space marching algorithms developed to improve convergence rate and or reduce computational cost are emphasized. The algorithms presented are extensions to the class of implicit pseudo-time iterative, upwind space-marching schemes. A full approximate storage, full multi-grid scheme is also described which is used to accelerate the convergence of a Gauss-Seidel relaxation method. The multi-grid algorithm is shown to significantly improve convergence on high ratio grids.

/pdf/a-psuedo-temporal-multi-grid-relaxation-scheme-for-solving-1xf6z7pt9y.pdf

A Psuedo-Temporal Multi-Grid Relaxation Scheme for Solving the Parabolized Navier-Stokes Equations

A new computer code for the solution of the three-dimensional parabolized Navier-Stokes equations has been developed. The code employs a state-of-the-art upwind algorithm to capture strong shock waves. The algorithm is implicit, uses finite volumes, and is second-order accurate in the crossflow directions. The new code is validated through application to laminar hypersonic flows past two simple body shapes: a circular cone of 10 deg half-angle, and a generic all-body hypersonic vehicle. Cone flow solutions were computed at angles of attack of 12, 20, and 24 deg and results are in agreement with experimental data. Results are also presented for the flow past the all-body vehicle at angles of incidence of 0 and 10 deg.

Application of an upwind algorithm to the three-dimensional parabolized Navier-Stokes equations

Practical applications of new LU-ADI scheme for the three-dimensional Navier-Stokes computation of transonic viscous flows

Solution-limited time stepping to enhance reliability in CFD applications

An artificial compressibility method characterized by the pressure-based algorithm is developed on a nonorthogonal collocated grid for incompressible fluid flow problems, using a cell-centered finite-volume approximation. Unlike the traditional pseudo-compressibility concept, the continuity constraint is perturbed by the material derivative of pressure, the physical relevance of which is to invoke matrix preconditionings. The approach provokes density perturbations, assisting the transformation between primitive and conservative variables. To account for the flow directionality in the upwinding, a rotational matrix is introduced to evaluate the convective flux. A rational means of reducing excessive numerical dissipation inherent in the pressurevelocity coupling is contrived which has the expedience of greater flexibility and increased accuracy in a way similar to the MUSCL approach. Numerical experiments in reference to a few laminar flows demonstrate that the overall artifacts expedite enhanced robustn...

An artificial compressibility method for incompressible flows

Multi-dimensional formulation of CSCM - An upwind flux difference eigenvector split method for the compressible Navier-Stokes equations

Simple, efficient parallel computing with asynchronous implicit CFD algorithms on multiple grid domain decompositions

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Multi-dimensional formulation of CSCM - An upwind flux difference eigenvector split method for the compressible Navier-Stokes equations

Simple, efficient parallel computing with asynchronous implicit CFD algorithms on multiple grid domain decompositions