An implicit multidomain spectral collocation method for stiff highly nonlinear fluid dynamics problems

DOI10.1016/0045-7825(94)00053-PzbMath0851.76066OpenAlexW2011988738MaRDI QIDQ1913211

Peter E. Raad, Isaac M. Kuria

Publication date: 28 November 1996

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

Full work available at URL: https://doi.org/10.1016/0045-7825(94)00053-p

zbMATH Keywords

Burgers equationChebyshev spectral collocation techniqueexplicit-implicit Adams-Bashforth Crank-Nicolson and implicit Crank-Nicolson methodsgas bearingtrailing edge boundary layer

Mathematics Subject Classification ID

Lubrication theory (76D08)

Related Items (3)

Unnamed Item ⋮ Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations ⋮ An implicit pseudospectral scheme to solve propagating fronts in reaction-diffusion equations

Cites Work

• The Chebyshev multidomain approach to stiff problems in fluid mechanics
• Spectral and finite difference solutions of the Burgers equations
• Improvements in spectral collocation discretization through a multiple domain technique
• A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function
• A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
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