A path conservative finite volume method for a shear shallow water model

10/11/2019
by   Praveen Chandrashekar, et al.
0

The shear shallow water model provides a higher order approximation for shallow water flows by including the effect of vertical shear in the model. This model can be derived from the depth averaging process by including the second order velocity fluctuations which are neglected in the classical shallow water approximation. The resulting model has a non-conservative structure which resembles the 10-moment equations from gas dynamics. This structure facilitates the development of path conservative schemes and we construct HLL, 3-wave and 5-wave HLLC-type solvers. An explicit and semi-implicit MUSCL-Hancock type second order scheme is proposed for the time integration. Several test cases including roll waves show the performance of the proposed modeling and numerical strategy.

READ FULL TEXT

page 27

page 28

page 29

page 31

research
08/19/2021

An exact Riemann solver for a shear shallow water model

The shear shallow water model is a higher order model for shallow flows ...
research
06/20/2023

CFL Optimized Forward-Backward Runge-Kutta Schemes for the Shallow Water Equations

We present the formulation and optimization of a Runge-Kutta-type time-s...
research
08/14/2020

Shallow Water Moment models for bedload transport problems

In this work a simple but accurate shallow model for bedload sediment tr...
research
05/02/2021

In-cell Discontinuous Reconstruction path-conservative methods for non conservative hyperbolic systems – Second-order extension

We are interested in the numerical approximation of discontinuous soluti...
research
02/15/2021

Efficient solvers for shallow-water Saint-Venant equations and debris transportation-deposition models

This research is aimed at achieving an efficient digital infrastructure ...
research
11/29/2021

Estimating earthquake-induced tsunami inundation probabilities without sampling

Given a distribution of earthquake-induced seafloor elevations, we prese...
research
03/07/2023

A semi-implicit finite volume method for the Exner model of sediment transport

The aim of this work is to construct efficient finite volume schemes for...

Please sign up or login with your details

Forgot password? Click here to reset