A duality method for the compressible Reynolds equation.: Application to simulation of read/write processes in magnetic storage devices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:175

Article; Proceedings Paper

Arregui, I ; Cendán, JJ ; Vázquez, C

关键词: compressible Reynolds lubrication equation;    characteristics method;    maximal monotone operators;    duality algorithms;   

DOI  :  10.1016/j.cam.2004.06.009

来源: Elsevier

【 摘 要 】

In this work the authors present a new numerical algorithm to approximate the solution of compressible Reynolds equation with additional first-order slip flow terms. This equation appears when modelling read/write processes in magnetic storage devices such as hard disks. The proposed numerical method is based on characteristics approximation for convection (dominating) terms and a duality method applied to a maximal monotone operator which represents the nonlinear diffusive term. Several test examples illustrate the good performance of the method. (C) 2004 Elsevier B.V. All rights reserved.

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