Global existence and numerical approximation in adiabatic shearing of incompressible fluids

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摘要

We first study the existence of global solutions to an adiabatic shearing model of incompressible fluids between two parallel plates when 1⩽α⩽3, where the viscosity is μ(θ)=θ−α. Then we propose two finite difference schemes for μ(θ)⩾μ0>0 (0<θ<∞) and for μ(θ)↓0 as θ→∞, respectively. Numerical experiments are presented which demonstrate the high accuracy of the schemes.

论文关键词:Shearing flow,Incompressible fluids,Global existence,Finite difference schemes,Stability

论文评审过程:Received 1 December 2001, Revised 12 July 2002, Available online 28 December 2002.

论文官网地址:https://doi.org/10.1016/S0377-0427(02)00827-0