Numerical comparison between relaxation and nonlinear equilibrium models. Application to chemical engineering

DOI10.1016/S0167-2789(99)00203-1zbMath0957.80001OpenAlexW1997425401MaRDI QIDQ1581764

Mauricio Sepúlveda, Marie Postel, François James

Publication date: 8 October 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00203-1

zbMATH Keywords

nonlinear diffusion equationshyperbolic systemchemical engineeringchromatographyChapman-Enskog type expansionequilibrium between phasesfinite exchange kineticnonlinear relaxation termrelaxation equationssecond-order diffusive schemessecond-order relaxation schemesseparation processes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Thermodynamics of continua (80A17) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items

Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography, Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The mathematical theory of dilute gases
• Numerical approximation of hyperbolic systems of conservation laws
• Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Accurate partial difference methods. II: Non-linear problems
• TVB Boundary Treatment for Numerical Solutions of Conservation Laws
• The fluid dynamic limit of the nonlinear boltzmann equation
• Convergence Results for Some Conservation Laws with a Reflux Boundary Condition and a Relaxation Term Arising in Chemical Engineering
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Parameter identification for a model of chromatographic column
• Fast-slow dynamics for parabolic perturbations of conservation laws
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error