9 papers
A perfectly matched layer for damping vertically propagating waves in the compressible Boussinesq equations
Timothy C. Andrews, Kenneth Duru, David Lee
This paper introduces a new application of the perfectly matched layer (PML) for mitigating model top wave reflections in geophysical fluid models. Typically, a strong Laplacian or…
A space-time dual-pairing summation-by-parts framework for forward and adjoint wave equations
Kenny Wiratama, Kenneth Duru, Yunho Kim
In this paper, we propose the first of its kind space-time dual-pairing summation by parts (DP-SBP) numerical framework for forward and adjoint wave propagation problems. This nove…
A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields: Curvilinear coordinates and multi-block domains
Dean Muir, Kenneth Duru, Stuart Hudson +1
We present a robust and accurate numerical method for the anisotropic diffusion equation in curvilinear coordinates. This study extends the recent work [Muir et al., Computer Physi…
Local linear stability of dual-pairing summation-by-parts methods for nonlinear conservation laws
Dougal Stewart, Kenneth Duru
A recent study by Gassner et al. [J. Sci. Comput. 90:79 (2022)] demonstrates that local energy stability--that is, ensuring the asymptotic numerical growth rate does not exceed the…
A dual-pairing summation-by-parts finite difference framework for nonlinear conservation laws
Dougal Stewart, Nathan Lee, Kenneth Duru
Robust and convergent high-order numerical methods for solving partial differential equations are highly attractive due to their efficiency on modern and next-generation hardware a…
On well-posed energy/entropy stable boundary conditions for the rotating shallow water equations
Kenneth Duru, Chuqiao Xu
We derive and analyze well-posed, energy- and entropy-stable boundary conditions (BCs) for the two-dimensional linear and nonlinear rotating shallow water equations (RSWE) in vecto…