A Lions Domain Decomposition Algorithm for Radiation Diffusion Equations on Non-matching Grids. Issue 4 (10th November 2015)

• Record Type: Journal Article
• Authors: Yin, Li; Wu, Jiming; Dai, Zihuan
• Is Part Of: Numerical mathematics. Volume 8:Issue 4(2015)
• Page Start: 530
• Page End: 548
• Publication Date: 2015-11-10
• Subjects: 65M06, -- 65M55; Lions domain decomposition, -- radiation diffusion equations, -- non-matching grids, -- Schwarz algorithm; Numerical analysis -- Periodicals; Numerical analysis; Periodicals; 518.05
• DOI: 10.4208/nmtma.2015.m1403
• Languages: English
• ISSNs: 1004-8979

Abstract

Abstract: We develop a Lions domain decomposition algorithm based on a cell functional minimization scheme on non-matching multi-block grids for nonlinear radiation diffusion equations, which are described by the coupled radiation diffusion equations of electron, ion and photon temperatures. The L 2 orthogonal projection is applied in the Robin transmission condition of non-matching surfaces. Numerical results show that the algorithm keeps the optimal accuracy on the whole computational domain, is robust enough on distorted meshes and curved surfaces, and the convergence rate does not depend on Robin coefficients. It is a practical and attractive algorithm in applying to the two-dimensional three-temperature energy equations of Z-pinch implosion simulation.