Showing papers on "MUSCL scheme published in 1997"
TL;DR: In this article, a surface-capturing method is developed for numerically simulating viscous free surface flows in partially filled containers, based on the idea that the flow of two immiscible fluids within a closed container is governed by the equations of motion for an incompressible, viscous, nonhomogeneous (variable density) fluid.
138 citations
TL;DR: In this article, a computational method for the Favre-Reynolds-averaged three-dimensional compressible Navier-Stokes equations using near-wall Reynolds-stress closure is described.
Abstract: A computational method for the Favre-Reynolds-averaged three-dimensional compressible Navier-Stokes equations using near-wall Reynolds-stress closure is described. The near-wall Reynolds-stress closure uses the Launder-Shima formulation for the Reynolds stresses and the Jones-Launder-Sharma modified dissipation (e*) equation. The mean-flow and turbulence-transport equations are discretized using a finite volume method based on MUSCL Van Leer flux-vector-splitting with Van Albada limiters. The mean-flow and turbulence equations are integrated in time using a fully coupled approximately factored implicit backward Euler method. The resulting scheme is robust and achieves optimal convergence with local-time-step Courant-Friedrichs-Lewy = 50. The turbulence closure is validated by comparison with classic flat-plate boundary-layer data. Results are presented for the three-dimensional Delery transonic channel test case and compared with k-e computations. An analysis of the limitations of the closure is attempted, and possible improvements are suggested.
51 citations
TL;DR: In this paper, a second-order finite difference scheme for two-and three-dimensional Euler equations is presented, which is based on nondirectionally split and single-step Eulerian formulations of the Godunov approach.
11 citations
29 Jun 1997
TL;DR: An algorithm for the computation of steady and unsteady inviscid, compressible, two-dimensional flows is presented, allowing automatic meshing of boundaries of arbitrary geometry, and allowing h-adaptivity to geometric and solution features.
Abstract: An algorithm for the computation of steady and unsteady inviscid, compressible, two-dimensional flows is presented. Grid generation utilizes the quadtree spatial subdivision algorithm, allowing automatic meshing of boundaries of arbitrary geometry, and allowing h-adaptivity to geometric and solution features. Internal boundaries and interfaces may move, deform, coalesce, and disintegrate arbitrarily. The flow-solver is based on the MUSCL scheme. For moving boundaries, a novel feature of the algorithm is that the grid is stationary and boundaries are allowed to move across grid-lines. This is enabled by merging cells in the vicinity of boundaries to form composite cells that are topologically invariant during individual motion steps. This merging also eliminates the smallcell time-step constraint introduced by grid nonconformality. The motion of boundaries is tracked
9 citations
TL;DR: There is some evidence that the stall in convergence with the explicit Runge?Kutta method might be caused by a physical instability in the wake behind the airfoil.
9 citations
TL;DR: In this paper, a convergent and conservative finite volume scheme for an elliptic equation is proposed, together with the finite difference schemes, upwind and MUSCL, for a hyperbolic equation on grids with local refinement.
Abstract: In this article, an algorithm for the numerical approximation of two-phase flow in porous media by adaptive mesh is presented. A convergent and conservative finite volume scheme for an elliptic equation is proposed, together with the finite difference schemes, upwind and MUSCL, for a hyperbolic equation on grids with local refinement. Hence, an IMPES method is applied in an adaptive composite grid to track the front of a moving solution. An object-oriented programmation technique is used. The computational results for different examples illustrate the efficiency of the proposed algorithm. c © 1997 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 13: 673–697, 1997
6 citations