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Showing 1 to 5 of 5 for “"Bubble functions"”.
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Residual-based turbulence models for incompressible flows in domains with moving boundaries
… the fine scales are modeled using a bubble functions approach. This enables the fine-scale problem to be solved on elements or patches of elements. As a consequence, the presented algorithms are amenable for parallel implementation. The simplest fine-scale model presented here is …
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A variational multiscale a-posteriori error estimation method for nearly incompressible elasticity
… proposed. The first employs a representation by bubble functions that arises consistently during the development of the stabilized method and is computed by a simple, direct post-solution evaluation. The second involves solving the fine scale error equation through localization to overlapping …
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Stabilized Finite Element Formulations for Flow Problems
… enriching the velocity trial function space with bubble functions are only stable for triangular elements. We also present a stabilized formulation for the advection-diffusion equation using the generalized finite element framework. This formulation eliminates oscillations in the neighborhood of …
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A variational multiscale framework for non-Newtonian fluid models
… fluids that include nonlinear viscosity functions of the second invariant of the rate-of-deformation tensor, thereby resulting in shear-thinning or shear-thickening effects. Another is viscoelastic fluid models that embody elastic stress term as well as viscous stress term, and therefore …
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A variational multiscale computational framework for nonlinear interfacial solid mechanics
… are constructed using simple polynomial bubble functions. The variational embedding of these models serves as a vehicle for systematically deriving a robust interface framework that is mathematically consistent, admits common element types, and is free from user-defined tuning parameters. …