Unified model for multi-regime shallow free-surface flows of power-law fluids

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• Free-Surface Flow - 1st Edition
• Derivation of a new two-dimensional viscous Shallow Water model with varying

Comput.Related Papers The Allen Institute for AI Proudly built by AI2 with the help of our Collaborators using these Sources. Matar Physics 2009 VIEW 1 EXCERPT ? 1 2 3 4 5.It is obtained by an asymptotic expansion of the upper-convected Maxwell model for elastic fluids.Craster, Omar K.Numerical Analysis 2010 VIEW 1 EXCERPT A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves Francois Bouchut, Christian Klingenberg, Knut Waagan Mathematics, Computer Science Numerische Mathematik 2010 Shallow Water equations for Non-Newtonian fluids Enrique Domingo Fernandez-Nieto, Pascal Noble, Jean-Paul Vila Physics 2010 VIEW 1 EXCERPT Why many theories of shock waves are necessary.Additionally to the classical layer depth and velocity in shallow models, our system describes also the evolution of two scalar stresses.The viscosity is assumed small (of order epsilon, the aspect ratio of the thin layer of fluid), but the relaxation time is kept finite.Numerical illustrations are given, based on a suitable well-balanced finite-volume discretization involving an approximate Riemann solver. Additionally to the classical layer depth and velocity in shallow models, our system describes also the evolution of two scalar stresses. The viscosity is assumed small (of order epsilon, the aspect ratio of the thin layer of fluid), but the relaxation time is kept finite.We propose a new reduced model for gravity-driven free-surface flows of shallow elastic fluids. It has an intrinsic energy equation. The mathematical properties of the model are established, an important feature being the non-convexity of the physically relevant energy with respect to conservative variables, but the convexity with respect to the physically relevant pseudo-conservative variables.

Free-Surface Flow - 1st Edition

To decline or learn more, visit our Cookies page.The book provides systematic analysis tools and basic skills for study fluid mechanics in natural and constructed environmental flows.Share your review so everyone else can enjoy it too.Your review was sent successfully and is now waiting for our team to publish it.Reviews (0) write a review Updating Results.If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.His research has resulted in over 200 publications, and several software packages that are used worldwide for the analysis and control of free-surface flows.The book provides systematic analysis tools and basic skills for study fluid mechanics in natural and constructed environmental flows.As the prediction A NEW MODEL FOR SHALLOW VISCOELASTIC FLUIDS.

Derivation of a new two-dimensional viscous Shallow Water model with varying topography, bottom friction and capillary effects

The difficulty we overcome here is the normal dependence of the velocity field, that we are able to establish exactly.In both cases no particular assumption is made on the velocity profile in the material layer.The method of proof uses the Bresch-Desjardins entropy and the analysis of the evolution of the active potential.Request full-text Request full-text Download citation Copy link Link copied Download citation Copy link Link copied Request the full-text directly from the author on ResearchGate.This approach is used in this paper with a finite volume scheme solving the multi-dimensional Saint-Venant system.The derived model is shown to be symmetrizable through a suitable change of variables.Cette methode, base sur le travail E.The focus is on the application of fluid mechanics to the dynamics of large scale flows in the oceans and the atmosphere. Shallow-Water Equations and Related Topics.

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shallow water type

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Download Citation | Derivation of a new two-dimensional viscous Shallow Water model with varying topography, bottom friction and capillary effects | Résumé Considering the three-dimensional Navier–Stokes equations with a free moving surface boundary condition and hydrostatic approximation, we... | Find, read and cite all the research you need on ResearchGate.