Application of the Chebyshev pseudospectral method to van der Waals fluids

DOI10.1016/j.cnsns.2011.12.025zbMath1351.76204OpenAlexW1993812415MaRDI QIDQ450325

Tinuade Odeyemi, Ousmane Seidou, Abdolmajid M. Mohammadian

Publication date: 13 September 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.12.025

zbMATH Keywords

Chebyshev pseudospectral methodhigh-order finite difference methodsnon-classical shock wavesvan der Waals flows

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays ⋮ Pseudospectral method for second-order autonomous nonlinear differential equations

Uses Software

• Matlab

Cites Work

• Unnamed Item
• New analytical and CWENO numerical solutions for axisymmetric horizontal flows with heat sources
• Roundoff error in computing derivatives using the Chebyshev differentiation matrix
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points
• Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models
• Spectral Methods in MATLAB
• A Model Numerical Scheme for the Propagation of phase Transitions in Solids

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