Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

A spectral embedding method applied to the advection-diffusion equation

Journal Article · · Journal of Computational Physics
;  [1]
  1. Laboratoire J.A. Dieudonne, Nice (France)

In order to solve partial differential equations in complex geometries with a spectral type method, one describes an embedding approach which essentially makes use of Fourier expansions and boundary integral equations. For the advection-diffusion equation, the method is based on an efficient {open_quotes}Helmholtz solver,{close_quotes} the accuracy of which is tested by considering 1D and 2D advection-diffusion problem in a hexagonal geometry. 16 refs., 13 figs., 2 tabs.

OSTI ID:
274252
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 125; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

Similar Records

Space-time integrated least-squares: Solving a pure advection equation with a pure diffusion operator
Journal Article · Tue Mar 14 23:00:00 EST 1995 · Journal of Computational Physics · OSTI ID:105436

A spectral boundary integral equation method for the 2D Helmholtz equation
Journal Article · Fri Sep 01 00:00:00 EDT 1995 · Journal of Computational Physics · OSTI ID:110897

A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries
Journal Article · Fri Dec 31 23:00:00 EST 1999 · Journal of Computational Physics · OSTI ID:20014347