Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface
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Summary
The model and the discrete scheme are validated and the capability of the discrete model to reproduce realistic tsunami waves propagation, tsunami runup and complex 3D hydrodynamics in a raceway is illustrated.
- Type
- preprint
- Published
- 2017-09-19
- Cited by
- 15
- References
- 64
- Access
- Open access
- OpenAlex
- https://openalex.org/W2756566990
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:119135595
Keywords
Free surface, Piecewise, Mathematics, Shallow water equations, Galerkin method
References
- Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes
- Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources
- Hydrodynamics of Free Surface Flows: Modelling with the Finite Element Method
- Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy
- Kinetic formulation of conservation laws
- Mathematical topics in fluid mechanics
- Construction of BGK Models with a Family of Kinetic Entropies for a Given System of Conservation Laws
- Traveltime delay and initial phase reversal of distant tsunamis coupled with the self‐gravitating elastic Earth
- AN INTRODUCTION TO FINITE VOLUME METHODS FOR HYPERBOLIC CONSERVATION LAWS
- A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution
- A multilayer Saint-Venant model: Derivation and numerical validation
- Homogeneous hydrostatic flows with convex velocity profiles
- Entropy satisfying flux vector splittings and kinetic BGK models
- On the derivation of homogeneous hydrostatic equations
- Finite-Volume Solvers for a Multilayer Saint-Venant System
- A 2D model for hydrodynamics and biology coupling applied to algae growth simulations
- Mathematical Topics in Fluid Mechanics, Volume 1, Incompressible Models
- A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation*
- A well-balanced positivity preserving second-order scheme for shallow water flows on unstructured meshes
- A robust well-balanced scheme for multi-layer shallow water equations
Cited by
- How do microalgae perceive light in a high-rate pond? Towards more realistic Lagrangian experiments
- Some analytical solutions for validation of free surface flow computational codes
- Modeling, analysis and simulation of two geophysical flows
- The Navier-Stokes system with temperature and salinity for free surface flows Part I: Low-Mach approximation & layer-averaged formulation
- The Navier-Stokes system with temperature and salinity for free surface flows Part II: Numerical scheme and validation
- A two-dimensional method for a family of dispersive shallow water models
- Numerical Simulations of a Dispersive Model Approximating Free-Surface Euler Equations
- Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows
- The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation
- Evaluation of tsunami inundation in the plain of Martil (north Morocco): Comparison of four inundation estimation methods
- Implicit kinetic schemes for the Saint-Venant system
- Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system
- A numerical model for simulation of bedload transport in unsteady trans-critical river flow
- Should Hydrodynamics Be Taken into Account when Calculating the Growth Rate of Microalgae in a Photobioreactor?
- Barotropic-Baroclinic Splitting for Multilayer Shallow Water Models with Exchanges
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