Shallow Water Equations
Mostrando 1-12 de 12 artigos, teses e dissertações.
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1. A Numerical Study of Linear Long Water Waves over Variable Topographies using a Conformal Mapping
ABSTRACT In this work we present a numerical study of surface water waves over variable topographies for the linear Euler equations based on a conformal mapping and Fourier transform. We show that in the shallow-water limit the Jacobian of the conformal mapping brings all the topographic effects from the bottom to the free surface. Implementation of the nume
Trends in Computational and Applied Mathematics. Publicado em: 2022
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2. Two-dimensional Boussinesq equations applied to channel flows: deducing and applying the equations
RESUMO Uma das hipóteses básicas adotada para a formulação teórica dos escoamentos de fluidos é a distribuição da pressão hidrostática na vertical. No entanto, muitos pesquisadores apontaram que essa simplificação pode levar a erros, em casos como o escoamento na ruptura de barragens. A discrepância entre a solução computacional e o experiment
RBRH. Publicado em: 25/04/2019
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3. Numerical experimental comparison of dam break flows with non-Newtonian fluids
The dam-break flow involving non-Newtonian fluids is a type of flow commonly observed in nature as well as in common industrial processes. Experiments of non-Newtonian dam-break flows were conducted in horizontal channels and aqueous solutions of Carbopol 940 were used, which were modeled by the Herschel-Bulkley constitutive equation. Their flows were filmed
Journal of the Brazilian Society of Mechanical Sciences and Engineering. Publicado em: 2012-06
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4. Modelo hidrodinâmico e de transporte bidimensional de grade não estruturada para lagos rasos
Aquatics ecossistems around large towns are always exposed waste domestic and industrial and solid residues. Mathematical models are widely used to understand flow patterns and transport of mass in these ecosystems. In this work a model was developed on unstructured two-dimensional complex dynamic model for shallow lakes. The model was divided in two modules
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 2010
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5. The "upwind" scheme to the conservation laws and their application in simulation of 2D and 3D incompressible laminar and turbulent flows with free surfaces / Um esquema "upwind" para leis de conservação e sua aplicação na simulação de escoamentos incompressíveis 2D e 3D laminares e turbulentos com superfícies livres
Althought the PDEs that model conservation laws and fluid dynamics problems are well established, their numerical solutions have presented a continuing challenge. In particular, there are two challenges associated with the computation and the understanding of these problems, namely, formation of shocks and turbulence. Both challenges can be attributed to the
Publicado em: 2009
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6. Variedades inerciais em um modelo atmosférico de Lorenz
Estimativas de erro são estabelecidas em termos do número de Rossby para a aproximação de Galerkin não linear nas soluções do modelo atmosférico balanceado de Lorenz com massa forçante. Desse modo a aproximação espectral da aproximação de Galerkin não linear é ligada ao número de Rossby.
Publicado em: 2007
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7. Modelo computacional paralelo para a hidrodinâmica e para o transporte de substâncias bidimensional e tridimensional / Parallel computational model for hydrodynamics and for the scalar two-dimensional and three-dimensional transport of substances
Neste trabalho desenvolveu-se e implementou-se um modelo computacional paralelo multifísica para a simulação do transporte de substâncias e do escoamento hidrodinâmico, bidimensional (2D) e tridimensional (3D), em corpos de água. Sua motivação está centrada no fato de que as margens e zonas costeiras de rios, lagos, estuários, mares e oceanos são
Publicado em: 2007
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8. Sensitivity analysis of shallow water problems via perturbative methods
We applied the perturbative theory to perform sensitivity analysis of the shallow water equations. The numerical solution of these equations was found via the mass lumping finite element technique. Then, the adjoint system of the shallow water equations was derived for the one-dimensional case and the expression of the sensitivity coefficient of a generic fu
Journal of the Brazilian Society of Mechanical Sciences and Engineering. Publicado em: 2006-09
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9. Turbulent shallow-water model for orographic subgrid-scale perturbations
A parallel pseudo-spectral method for the simulation in distributed memory computers of the shallow-water equations in primitive form was developed and used on the study of turbulent shallow-waters LES models for orographic subgrid-scale perturbations. The main characteristics of the code are: momentum equations integrated in time using an accurate pseudo-sp
Journal of the Brazilian Society of Mechanical Sciences. Publicado em: 2000
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10. Numerical study of Petrov-Galerkin formulations for the shallow water wave equations
The behavior of Petrov-Galerkin formulations for shallow water wave equations is evaluated numerically considering typical one-dimensional propagation problems. The formulations considered here use stabilizing operators to improve classical Galerkin approaches. Their advantages and disadvantages are pointed out according to the intrinsic time scale (free par
Journal of the Brazilian Society of Mechanical Sciences. Publicado em: 2000
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11. Problemas de circulacao oceanica equatorial: determinacao da estrutura horizontal dos modos baroclinicos por equacoes integrais de contorno / Problems of equatorial oceanic circulation: determination of horizontal
This work contains a detailed presentation of a new methodology for the numerical simulation of tropical ocean circulation. Specifically, one considers the linearized shallow water equations on the equatorial Ò-plane, which may be used to describe the horizontal dependence of each baroclinic mode in a vertical normal mode expansion. A general boundary value
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 05/02/1991
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12. Problemas de circulacao oceanica equatorial: determinacao da estrutura horizontal dos modos baroclinicos por equacoes integrais de contorno / Problems of equatorial oceanic circulation: determination of horizontal
This work contains a detailed presentation of a new methodology for the numerical simulation of tropical ocean circulation. Specifically, one considers the linearized shallow water equations on the equatorial Ò-plane, which may be used to describe the horizontal dependence of each baroclinic mode in a vertical normal mode expansion. A general boundary value
Publicado em: 1991