Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/58695

Title

A Petrov-Galerkin method for the direct simulation of fully enclosed flows

Author(s)

Suslov, Sergey A.;  Paolucci, Samuel

Abstract

A new Petrov-Galerkin method for computations of fully enclosed flows is developed. It makes use of divergence-free basis functions which also satisfy the boundary conditions for the velocity field. This allows the elimination of the unknown pressure, and subsequently decreases the computational cost substantially when the problem is formulated in primitive variables. The computational procedure reduces to the solution of a system of non-linear first order ordinary differential equations for the spectral expansion coefficients, or, in the steady case, to the solution of a system of nonlinear algebraic equations. The paper illustrates the effectiveness of the method by solving the problem of the two-dimensional thermoconvective flow in a rectangular cavity at high Rayleigh numbers. The results compare favorably with ones obtained using finite-difference and pseudo-spectral schemes in terms of accuracy, and memory and computational time requirements. The generalization of the method to three dimensions is straightforward and preserves all the advantageous features found in two-dimensional computations.

Publication type

Conference paper

Source

Proceedings of the American Society of Mechanical Engineers Heat Transfer Division, vol. 4: proceedings of the 1996 American Society of Mechanical Engineers (ASME) Heat Transfer Division International Mechanical Engineering Congress and Exposition, Atlanta, Georgia, United States, 17-22 November 1996 / D. W. Pepper and R. W. Douglass (eds.), Vol. 335, pp. 39-44

Publication year

1996

Keyword(s)

Computational methods;  Computer simulation;  Enclosed flows;  Flow of fluids;  Functions;  Mathematical models;  Petrov Galerkin method;  Problem solving;  Rayleigh numbers;  Spectral expansion coefficient;  Thermoconvective flows

Publisher

American Society of Mechanical Engineers

ISSN

0272-5673 (series ISSN)

ISBN

9780791815236 (vol. 4), 0791815234 (vol. 4)

Copyright

Copyright © 1996 American Society of Mechanical Engineers. Publisher does not officially support author/institution self-archiving of either the postprint (final, revised accepted draft) or published version of full text.

Peer reviewed