The flux integral method for multidimensional convection and diffusion

DOI10.1016/0307-904X(95)00017-EzbMath0847.76053OpenAlexW2088081808MaRDI QIDQ1900564

B. P. Leonard, A. P. Lock, M. K. MacVean

Publication date: 31 October 1995

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(95)00017-e

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Diffusion and convection (76R99)

Related Items (4)

The flux integral method for multidimensional convection and diffusion ⋮ High-order compact solution of the one-dimensional heat and advection-diffusion equations ⋮ 3DFLUX: a high-order fully three-dimensional flux integral solver for the scalar transport equation ⋮ Magnetohydrodynamic simulations using radial basis functions

Cites Work

• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• An explicit scheme for advection-diffusion modelling in two dimensions
• The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection
• The flux integral method for multidimensional convection and diffusion
• Note on the von Neumann stability of explicit one-dimensional advection schemes
• A method for reducing dispersion in convective difference schemes
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• Systems of conservation laws

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