Journal ArticleDOI
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
TLDR
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is described in this article.Abstract:
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is expl...read more
Citations
More filters
Journal ArticleDOI
A level-set model for mass transfer in bubbly flows
TL;DR: In this article, a level-set model is presented for simulating mass transfer or heat transfer in two-phase flows, where the Navier-Stokes equations and mass transfer (or heat transfer) equation are discretized using a finite volume method on a collocated unstructured mesh, whereas a multiple marker level set approach is used for interface capturing in bubble swarms.
Journal ArticleDOI
L∞-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios
TL;DR: This work construct numerical fluxes such that the local maximum property is guaranteed under an explicit Courant-Friedrichs-Levy condition and it turns out that the mesh generation is less constrained than when using the competitive cell-centered methods.
Journal ArticleDOI
The sensitivity of a model's stratospheric tape recorder to the choice of advection scheme
A. R. Gregory,V. West +1 more
TL;DR: In this article, the sensitivity of a climate model's transport to the choice of numerical advection scheme is investigated using simulations of the stratospheric tape recorder, and significant differences are found between tracers advected with the Heun scheme (with centred spatial differencing) and tracers with a flux-limited total variation diminishing (TVD) scheme.
Journal ArticleDOI
Dynamic delayed detached eddy simulation of a multi‐inlet vortex reactor
TL;DR: In this paper, the authors used the dynamic delayed detached eddy simulation (DDES) method for modeling the turbulent swirling flow in the multi-inlet vortex reactor (MIVR) to manufacture functional nanoparticles.
Journal ArticleDOI
Numerical Study of Plasma–Electrode Interaction During Arc Discharge in a DC Plasma Torch
Peng Liang,Rodion Groll +1 more
TL;DR: In this paper, a simplified 1-D sheath model was developed to study the thermodynamic and electromagnetic interaction between plasma and electrodes, where the special space charge layer (sheath) on cathode was taken into account.
References
More filters
Journal ArticleDOI
Fully multidimensional flux-corrected transport algorithms for fluids
TL;DR: In this paper, the critical flux limiting stage is implemented in multidimensions without resort to time splitting, which allows the use of flux-corrected transport (FCT) techniques in multi-dimensional fluid problems for which time splitting would produce unacceptable numerical results.
Journal ArticleDOI
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Gary A. Sod,Gary A. Sod +1 more
TL;DR: In this paper, the finite difference methods of Godunov, Hyman, Lax and Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, and Glimm's method, a random choice method, are discussed.
Journal ArticleDOI
Systems of conservation laws
Peter D. Lax,Burton Wendroff +1 more
TL;DR: In this article, a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear conservation laws, and the best ones are determined, i.e., those which have the smallest truncation error and in which the discontinuities are confined to a narrow band of 2-3 meshpoints.
Journal ArticleDOI
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
TL;DR: Fromm's second-order scheme for integrating the linear convection equation is made monotonic through the inclusion of nonlinear feedback terms in this paper, where care is taken to keep the scheme in conservation form.
Journal ArticleDOI
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Jay P. Boris,David L. Book +1 more
TL;DR: A class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction,” which yield realistic, accurate results.