The fourier pseudospectral method for three-dimensional vorticity equations
Copyright policy )The fourier pseudospectral method for three-dimensional vorticity equations
The authors propose a pseudospectral method by using generalized Riesz spherical means to solve the space-periodical problem for the three- dimensional vorticity equations (generalized Helmholtz's equation). Error estimates are given for \(\nu >0\), \(\nu =0\), and for the three level scheme in appropriate spaces. Generalized stability schemes is proved.
- University of Shanghai for Science and Technology China (People's Republic of)
- Shanghai Second Polytechnic University China (People's Republic of)
Incompressible viscous fluids, Fourier pseudospectral approximation, vorticity equations, Partial differential equations of mathematical physics and other areas of application, Numerical methods for partial differential equations, boundary value problems, Nonlinear parabolic equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Riesz spherical means
Incompressible viscous fluids, Fourier pseudospectral approximation, vorticity equations, Partial differential equations of mathematical physics and other areas of application, Numerical methods for partial differential equations, boundary value problems, Nonlinear parabolic equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Riesz spherical means
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