A computationally efficient spectral method for modeling core dynamics

Performance benchmarks for a next generation numerical dynamo model

(2016) Hiroaki Matsui et al.   GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS

A fully spectral methodology for magnetohydrodynamic calculations in a whole sphere

(2016) P. Marti et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The effects of Ekman pumping on quasi-geostrophic Rayleigh–Bénard convection

(2016) Meredith Plumley et al.   JOURNAL OF FLUID MECHANICS

Laboratory-numerical models of rapidly rotating convection in planetary cores

(2015) J. S. Cheng et al.   GEOPHYSICAL JOURNAL INTERNATIONAL

Low-storage implicit/explicit Runge–Kutta schemes for the simulation of stiff high-dimensional ODE systems

(2015) Daniele Cavaglieri et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Rotating convective turbulence in Earth and planetary cores

(2015) J.M. Aurnou et al.   PHYSICS OF THE EARTH AND PLANETARY INTERIORS

The breakdown of the anelastic approximation in rotating compressible convection: implications for astrophysical systems

(2015) M. A. Calkins et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Multiscale convection in a geodynamo simulation with uniform heat flux along the outer boundary

(2014) Hiroaki Matsui et al.   GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS

Onset of rotating and non-rotating convection in compressible and anelastic ideal gases

(2014) Michael A. Calkins et al.   GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS

Three-dimensional quasi-geostrophic convection in the rotating cylindrical annulus with steeply sloping endwalls

(2013) Michael A. Calkins et al.   JOURNAL OF FLUID MECHANICS

On the genesis of the Earth's magnetism

(2013) Paul H Roberts et al.   REPORTS ON PROGRESS IN PHYSICS

A Fast and Well-Conditioned Spectral Method

(2013) Sheehan Olver et al.   SIAM REVIEW

Recent changes of the Earth's core derived from satellite observations of magnetic and gravity fields

(2012) M. Mandea et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Planetary Magnetic Fields and Fluid Dynamos

(2011) Chris A. Jones   Annual Review of Fluid Mechanics

A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems

(2010) B.K. Muite   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan–Shepp ridge polynomials, Chebyshev–Fourier Series, cylindrical Robert functions, Bessel–Fourier expansions, square-to-disk conformal mapping and radial basis functions

(2010) John P. Boyd et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Axisymmetric simulations of libration-driven fluid dynamics in a spherical shell geometry

(2010) Michael A. Calkins et al.   PHYSICS OF FLUIDS

Dynamo Models for Planets Other Than Earth

(2009) Sabine Stanley et al.   SPACE SCIENCE REVIEWS

An efficient spectral method for the simulation of dynamos in Cartesian geometry and its implementation on massively parallel computers

(2008) Stephan Stellmach et al.   GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS

Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods

(2008) Keith Julien et al.   JOURNAL OF COMPUTATIONAL PHYSICS