A two-dimensional time dependent Chebyshev method of collocation for the study of astrophysical flows

DOI10.1016/0045-7825(93)90027-UzbMath0844.76072MaRDI QIDQ1912186

Patrick Godon, Giora Shaviv

Publication date: 8 September 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsrotationviscosityspherical coordinatesatmosphere of compact starpropagation of initial perturbation

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral simulations of an unsteady compressible flow past a circular cylinder
• Pseudospectral methods with open boundary conditions for the study of atmospheric wave phenomena
• An introduction to SPH
• Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
• On Time Discretizations for Spectral Methods
• On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods
• Comparison of Pseudospectral and Spectral Approximation
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
• An Algorithm for the Machine Calculation of Complex Fourier Series
• Secondary frequencies in the wake of a circular cylinder with vortex shedding