Adaptive Timestepping for Elastohydrodynamic Lubrication Solvers
作者： C. E. Goodyer , M. Berzins
DOI: 10.1137/050622092
关键词: Differential algebraic equation 、 Mathematics 、 Applied mathematics 、 Nonlinear system 、 Multigrid method 、 Solver 、 Method of lines 、 Partial differential equation 、 Numerical analysis 、 Mathematical optimization 、 Discretization 、 Computational mathematics
摘要: The application of variable-step time-integration techniques in a method lines approach for the numerical solution transient elastohydrodynamic lubrication calculations is described. Spatial discretization coupled integro-differential equations leads to system differential-algebraic time. At each timestep large nonlinear 104--107 variables solved by using multigrid methods and multilevel multi-integration. temporal error control considered with reference both formulation be multigrid-based equation solver used. used takes account magnitude spatial present local time based on this error. This shown beneficial reducing computational work required. Experimental results variety problems, including challenging rough surface problem, are display effectiveness methods.
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