1 code implementation • 29 Jun 2020 • Eric W. Hester, Louis-Alexandre Couston, Benjamin Favier, Keaton J. Burns, Geoffrey M. Vasil
We develop and analyse the first second-order phase-field model to combine melting and dissolution in multi-component flows.
Computational Physics Numerical Analysis Numerical Analysis
2 code implementations • 24 May 2019 • Keaton J. Burns, Geoffrey M. Vasil, Jeffrey S. Oishi, Daniel Lecoanet, Benjamin P. Brown
The Dedalus Project is a flexible, open-source, parallelized computational framework for solving general partial differential equations using spectral methods.
Instrumentation and Methods for Astrophysics Computational Physics Fluid Dynamics
1 code implementation • 28 Mar 2019 • Eric W. Hester, Geoffrey M. Vasil, Keaton J. Burns
The key finding is that there is a simple correction that can be efficiently calculated to eliminate the displacement length and promote the accuracy to $\mathcal{O}(\eta)$.
Numerical Analysis
1 code implementation • 25 Sep 2015 • Geoffrey M. Vasil, Keaton J. Burns, Daniel Lecoanet, Sheehan Olver, Benjamin P. Brown, Jeffrey S. Oishi
In this paper we describe a set of bases built out of Jacobi polynomials, and associated operators for solving scalar, vector, and tensor partial differential equations in polar coordinates on a unit disk.
Numerical Analysis Instrumentation and Methods for Astrophysics
