10 citations · 23 across the 4 of their papers we have counts for
4 papers
Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump
David I. Ketcheson, Manuel Quezada de Luna
We investigate the numerical artifact known as a carbuncle, in the solution of the shallow water equations. We propose a new Riemann solver that is based on a local measure of the…
Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws
Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson +1
We introduce a general framework for enforcing local or global maximum principles in high-order space-time discretizations of a scalar hyperbolic conservation law. We begin with su…
Solitary water waves created by variations in bathymetry
Manuel Quezada de Luna, David I. Ketcheson
We study the flow of water waves over bathymetry that varies periodically along one direction. We derive a linearized, homogenized model and show that the periodic bathymetry induc…
Numerical simulation of cylindrical solitary waves in periodic media
Manuel Quezada de Luna David I. Ketcheson
We study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are dev…