SIMULATION OF A SPILLED OIL SLICK WITH A SHALLOW WATER MODEL WITH FREE BOUNDARY

DOI10.1142/S0218202507001966zbMath1128.35080MaRDI QIDQ5297200

Bernard Di Martino, Pierre Orenga, Mathieu Peybernes

Publication date: 18 July 2007

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

free boundaryGalerkin schemecharacteristics methodtwo-layer modelmovement of pollutants

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

Estimation of dynamic strains in finite end-constrained pipes in seismic areas ⋮ Simulation of the spread of a viscous fluid using a bidimensional shallow water model ⋮ An existence result for a free boundary shallow water model using a Lagrangian scheme ⋮ A new shallow water model with linear dependence on depth

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Unsteady motion of a finite mass of fluid, bounded by a free surface
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• On a non-homogeneous shallow-water problem
• Direct simulation of flows of solid-liquid mixtures
• ON A BI-LAYER SHALLOW WATER MODEL WITH RIGID-LID HYPOTHESIS

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