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The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation

Journal of computational physics, 2024-08, Vol.510, p.113065, Article 113065

2024

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Approximation of the hydrostatic Navier–Stokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution

Journal of computational physics, 2011-05, Vol.230 (9), p.3453-3478

2011

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Numerical modeling of self-channeling granular flows and of their levee-channel deposits

Journal of Geophysical Research - Earth Surface, 2007-06, Vol.112 (F2), p.F02017-n/a

2007

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Layer-averaged Euler and Navier–Stokes equations

Communications in mathematical sciences, 2017, Vol.15 (5), p.1221-1246

2017

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Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme

Journal of Geophysical Research, 2003-11, Vol.108 (B11), p.2527-n/a

2003

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Numerical simulations of 3D free surface flows by a multilayer Saint-Venant model

International journal for numerical methods in fluids, 2008-01, Vol.56 (3), p.331-350

2008

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A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes

Journal of computational physics, 2005-06, Vol.206 (1), p.311-333

2005

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Controllability Methods for the Computation of Time-Periodic Solutions; Application to Scattering

Journal of computational physics, 1998-12, Vol.147 (2), p.265-292

1998

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Analytical solutions for the free surface hydrostatic Euler equations

Communications in mathematical sciences, 2013, Vol.11 (4), p.993-1010

2013

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A relationship between stabilized finite element methods and the Galerkin method with bubble functions

Computer methods in applied mechanics and engineering, 1992-04, Vol.96 (1), p.117-129

1992

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A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows

SIAM journal on scientific computing, 2004, Vol.25 (6), p.2050-2065

2004

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Wave scattering at high wave numbers using exact controllability and finite element methods

IEEE transactions on magnetics, 1995-05, Vol.31 (3), p.1530-1533

1995

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Compressible viscous flow calculations using compatible finite element approximations

International journal for numerical methods in fluids, 1990-10, Vol.11 (6), p.719-749

1990

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The effect of the earth pressure coefficients on the runout of granular material

Environmental modelling & software : with environment data news, 2007-10, Vol.22 (10), p.1437-1454

2007

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Augmented conjugate gradient. Application in an iterative process for the solution of scattering problems

Numerical algorithms, 1998-01, Vol.18 (1), p.71-90

1998

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Numerical methods for the navier-stokes equations. Applications to the simulation of compressible and incompressible viscous flows

Computer physics reports, 1987-08, Vol.6 (1), p.73-187

1987

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Numerical modeling of self-channeling granular flows and of their levee-channel deposits

Journal of Geophysical Research. F. Earth Surface, 2007-05, Vol.112 (F2)

2007

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On the use of subcycling for solving the compressible Navier-Stokes equations by operator-splitting and finite element methods

Communications in applied numerical methods, 1988-05, Vol.4 (3), p.309-317

1988

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Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme

Journal of geophysical research, 2003, Vol.108 (B11), p.EPM9.1-EPM9.18

2003

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On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (II). Application to transonic flow simulations

Computer methods in applied mechanics and engineering, 1985, Vol.51 (1), p.363-394

1985

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Application of optimal control theory to transonic flow computations by finite element methods

Computing Methods in Applied Sciences and Engineering, 1977, II, 2005, p.103-124

2005

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Finite element methods for solving the Navier-Stokes equations for compressible unsteady flows

Ninth International Conference on Numerical Methods in Fluid Dynamics, 1985, p.115-120

1985

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3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions

Numerical Mathematics and Advanced Applications, p.181-189

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On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (I) least square formulations and conjugate gradient solution of the continuous problems

Computer methods in applied mechanics and engineering, 1979, Vol.17, p.619-657

1979

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Solving the Helmholtz Equation At High-Wave Numbers On a Parallel Computer With a Shared Virtual Memory

The international journal of supercomputer applications and high performance computing, 1995-03, Vol.9 (1), p.18-28

1995

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The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation

Approximation of the hydrostatic Navier–Stokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution

Numerical modeling of self-channeling granular flows and of their levee-channel deposits

Layer-averaged Euler and Navier–Stokes equations

Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme

Numerical simulations of 3D free surface flows by a multilayer Saint-Venant model

A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes

Controllability Methods for the Computation of Time-Periodic Solutions; Application to Scattering

Analytical solutions for the free surface hydrostatic Euler equations

A relationship between stabilized finite element methods and the Galerkin method with bubble functions

A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows

Wave scattering at high wave numbers using exact controllability and finite element methods

Compressible viscous flow calculations using compatible finite element approximations

The effect of the earth pressure coefficients on the runout of granular material

Augmented conjugate gradient. Application in an iterative process for the solution of scattering problems

Numerical methods for the navier-stokes equations. Applications to the simulation of compressible and incompressible viscous flows

Numerical modeling of self-channeling granular flows and of their levee-channel deposits

On the use of subcycling for solving the compressible Navier-Stokes equations by operator-splitting and finite element methods

Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme

On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (II). Application to transonic flow simulations

Application of optimal control theory to transonic flow computations by finite element methods

Finite element methods for solving the Navier-Stokes equations for compressible unsteady flows

3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions

On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (I) least square formulations and conjugate gradient solution of the continuous problems

Solving the Helmholtz Equation At High-Wave Numbers On a Parallel Computer With a Shared Virtual Memory

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