High-order finite-volume solutions of the steady-state advection-diffusion equation with nonlinear Robin boundary conditions

DOI10.1016/j.jcp.2017.05.023zbMath1378.76058OpenAlexW2614951578MaRDI QIDQ1692027

Zhi Lin, Qinghai Zhang

Publication date: 26 January 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.05.023

zbMATH Keywords

multivariate interpolationnonlinear Robin boundary conditionsQR factorizationblood clottingpoised stencilssteady-state advection-diffusion equation

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (3)

An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation ⋮ An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes ⋮ An improved scheme for a Robin boundary condition in discrete-time random walk algorithms

Uses Software

• AMRCFI
• GePUP

Cites Work

• High-order, multidimensional, and conservative coarse-fine interpolation for adaptive mesh refinement
• Interpolation and approximation by polynomials
• Algebraic multigrid theory: The symmetric case
• A fourth-order approximate projection method for the incompressible Navier-Stokes equations on locally-refined periodic domains
• GePUP: generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions
• A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation
• Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• A Multigrid Tutorial, Second Edition
• Approximation of Solutions of Mixed Boundary Value Problems for Poisson's Equation by Finite Differences
• A method for the solution of certain non-linear problems in least squares
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