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20092026
most citedDedalus: A Flexible Framework for Numerical Simulations with Spectral Methods

500 citations · 1.7k across the 46 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

physics.plasm-ph2019★ 9 cited

The Magnetorotational Instability Prefers Three Dimensions

Jeffrey S. Oishi, Geoffrey M. Vasil, Morgan Baxter +4

The magnetorotational instability (MRI) occurs when a weak magnetic field destabilises a rotating, electrically conducting fluid with inwardly increasing angular velocity. The MRI…

astro-ph.IM2019★ 500 cited

Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods

Keaton J. Burns, Geoffrey M. Vasil, Jeffrey S. Oishi +2

Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus Project is a flexible, open-source, parallelized computational framew…

physics.comp-ph2019★ 2 cited

The "Sphered Cube": A New Method for the Solution of Partial Differential Equations in Cubical Geometry

Keaton J. Burns, Daniel Lecoanet, Geoffrey M. Vasil +2

A new gridding technique for the solution of partial differential equations in cubical geometry is presented. The method is based on volume penalization, allowing for the impositio…

math.NA2019★ 31 cited

Improving convergence of volume penalised fluid-solid interactions

Eric W. Hester, Geoffrey M. Vasil, Keaton J. Burns

We analyse and improve the volume-penalty method, a simple and versatile way to model objects in fluid flows. The volume-penalty method is a kind of fictitious-domain method that a…

math.NA2019

A sparse spectral method on triangles

Sheehan Olver, Alex Townsend, Geoff Vasil

In this paper, we demonstrate that many of the computational tools for univariate orthogonal polynomials have analogues for a family of bivariate orthogonal polynomials on the tria…

astro-ph.SR2019★ 14 cited

Predicting the Rossby number in convective experiments

Evan H. Anders, Cathryn M. Manduca, Benjamin P. Brown +2

The Rossby number is a crucial parameter describing the degree of rotational constraint on the convective dynamics in stars and planets. However, it is not an input to computationa…