Galerkin Spectral Methods for Higher-order Boundary Value Problems Arising in Fluid Mechanics
نویسندگان
چکیده
We develop Galerkin spectral technique for solving boundary value problems arising in natural convection. They consist of a fourth-order b.v.p. for the stream function coupled to a second-order b.v.p. for the temperature. As a basis are used the set of socalled Beam functions introduced by Lord Rayleigh and the set of Fourier functions. The formulas for the cross expansions between the two sets are derived and a Galerkin spectral algorithm is created. A featuring example is solved and the issues of the rate of convergence and truncation error are clarified.
منابع مشابه
Galerkin Spectral Methods for Higher-order Boundary Value Problems Arising in Fluid
We develop Galerkin spectral technique for solving boundary value problems arising in natural convection. They consist of a fourth-order b.v.p. for the stream function coupled to a second-order b.v.p. for the temperature. As a basis are used the set of socalled Beam functions introduced by Lord Rayleigh and the set of Fourier functions. The formulas for the cross expansions between the two sets...
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تاریخ انتشار 2010