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
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Journal ArticleDOI
Effects of Ocean Biology on the Penetrative Radiation in a Coupled Climate Model
Patrick Wetzel,Ernst Maier-Reimer,Michael Botzet,Johann H. Jungclaus,Noel Keenlyside,Mojib Latif +5 more
TL;DR: In this article, the influence of phytoplankton on the seasonal cycle and the mean global climate was investigated in a fully coupled climate model, where the control experiment used a fixed attenuation depth for shortwave radiation, while the experiment with biology is derived from phyto-plankton concentrations simulated with a marine biogeochemical model coupled online to the ocean model.
3D flow around a rectangular cylinder: a computational study.
TL;DR: In this article, the 3D flow features around the nominally 2D cylinder are investigated by means of both proper orthogonal decomposition and coherence function of the side-surface fluctuating pressure field.
Journal ArticleDOI
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
TL;DR: In this paper, a high-resolution vorticity-based hybrid finite-volume finite-difference scheme was proposed to investigate the nonlinear dynamics of a two-dimensional chemotaxis-fluid system with boundary conditions matching an experiment of Hillesdon et al.
Journal ArticleDOI
Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh
Dhiraj V. Patil,K.N. Lakshmisha +1 more
TL;DR: A numerical scheme is presented for accurate simulation of fluid flow using the lattice Boltzmann equation (LBE) on unstructured mesh and it is shown that the scheme is robust and accurate for the different test problems studied.
Journal ArticleDOI
A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
TL;DR: The proposed scheme is able to cope with non-smooth stationary states, different time scales including metastability, as well as concentrations and self-similar behavior in- duced by singular nonlocal kernels.
References
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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.