Well-balanced schemes and path-conservative numerical methods
In this chapter we describe a general methodology for developing high-order well-balanced
schemes for hyperbolic system with nonconservative products and/or source terms. We …
schemes for hyperbolic system with nonconservative products and/or source terms. We …
High-order WENO finite-difference methods for hyperbolic nonconservative systems of Partial Differential Equations
B Ren, C Parés - arXiv preprint arXiv:2407.04401, 2024 - arxiv.org
This work aims to extend the well-known high-order WENO finite-difference methods for
systems of conservation laws to nonconservative hyperbolic systems. The main difficulty of …
systems of conservation laws to nonconservative hyperbolic systems. The main difficulty of …
Solving two-mode shallow water equations using finite volume methods
MJC Diaz, Y Cheng, A Chertock… - … in Computational Physics, 2014 - cambridge.org
In this paper, we develop and study numerical methods for the two-mode shallow water
equations recently proposed in [S. STECHMANN, A. MAJDA, and B. KHOUIDER, Theor …
equations recently proposed in [S. STECHMANN, A. MAJDA, and B. KHOUIDER, Theor …
Low-diffusion approximate Riemann solvers for Reynolds-stress transport
The paper investigates the use of low-diffusion (contact-discontinuity-resolving) approximate
Riemann solvers for the convective part of the Reynolds-averaged Navier–Stokes (rans) …
Riemann solvers for the convective part of the Reynolds-averaged Navier–Stokes (rans) …
Numerical solution of initial-boundary system of nonlinear hyperbolic equations
In this article, we present a numerical approximation of the initial-boundary system of
nonlinear hyperbolic equations based on spectral Jacobi-Gauss-Radau collocation (J-GR …
nonlinear hyperbolic equations based on spectral Jacobi-Gauss-Radau collocation (J-GR …
Source Terms
E Godlewski, PA Raviart, E Godlewski… - … of Hyperbolic Systems of …, 2021 - Springer
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Find a journal Publish with us Track your research Search Cart Book cover Numerical …
Find a journal Publish with us Track your research Search Cart Book cover Numerical …
[PDF][PDF] Path-consisten schemes for interacting boundary layers
JH Seubers - 2014 - repository.tudelft.nl
This study is aimed at modelling of the unsteady interacting boundary layer around wind
turbine rotor blades. It is shown that nonconservative mechanisms are present in this …
turbine rotor blades. It is shown that nonconservative mechanisms are present in this …
Well-balanced -adaptive and moving mesh space-time discontinuous Galerkin method for the shallow water equations
S Rhebergen - 2013 - ora.ox.ac.uk
In this article we introduce a well-balanced discontinuous Galerkin method for the shallow
water equations on moving meshes. Particular emphasis will be given on $ r $-adaptation in …
water equations on moving meshes. Particular emphasis will be given on $ r $-adaptation in …
[PDF][PDF] Mathematical and numerical modelling of dispersive water waves
CE Sánchez - 2018 - core.ac.uk
Computational Fluid Mechanics is today one of the most essential tools for the simulation of
a multitude of phenomena that take place in our environment. The flow that occurs after a …
a multitude of phenomena that take place in our environment. The flow that occurs after a …
Mathematical and numerical modelling of dispersive water waves
A Escamilla-Sánchez - 2018 - riuma.uma.es
Computational Fluid Mechanics is today one of the most essential tools for the simulation of
a multitude of phenomena that take place in our environment. The flow that occurs after a …
a multitude of phenomena that take place in our environment. The flow that occurs after a …