We close by showing that the time relaxation termĭoes not alter shock speeds in the inviscid, compressible case, givingĪnalytical confirmation of a result of Stolz, Adams, and Kleiser. Nonlinear extension of it) has on the large scales of a flow near a Next we complement this with anĮxperimental study of the effect the time relaxation term (and a The relaxation factor may be shown to be in the range (0,2) for Laplace/Poisson equations, but naturally >1 is most efficient. Model's solution as $h$, $\Delta t \rightarrow 0$. We study convergence of discretization of model to the Of inclusion of the $\chi u^*$ is to drive unresolved fluctuations to zeroĮxponentially. For example, we have avoided any mention of numerical. The usual method for calculating the relaxation function from a creep function or vice versa is to transfer the creep function into the Laplace domain. Generalized fluctuation and $\chi$ the time relaxation parameter. problems in relaxation that could be important to an investigator making use of iterative techniques. A direct numerical method for determining a relaxation function from a known creep function 1 Both the creep function and the relaxation function are connected by the convolution integral. We study the numerical errors in finite elementsĭiscretizations of a time relaxation model of fluid motion: $u_t u\cdot \nabla u \nabla p - \nu\Delta u \chi u^* = f$ and $\nabla \cdot u = 0$ In this model, introduced by Stolz, Adams, and Kleiser, $u^*$ is a KW - time relaxation, deconvolution, turbulence. JO - International Journal of Numerical Analysis and Modeling We describe polarization models for Maxwells equations which involve distributions of relaxation times and explain the difficulty in simulating these. T1 - Numerical Analysis of a Higher Order Time Relaxation Model of Fluids
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