Least-squares spectral method for solving advective population balance problems

DOI10.1016/j.cam.2006.02.020zbMath1110.65124OpenAlexW1976065759MaRDI QIDQ869544

Hugo Atle Jakobsen, Carlos A. Dorao

Publication date: 8 March 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.020

zbMATH Keywords

least-squares methodnumerical experimentscomputational fluid dynamicsmultiphase flowpopulation balance equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Spectral methods applied to problems in fluid mechanics (76M22) Three or more component flows (76T30)

Related Items

A population balance-Monte Carlo method for particle coagulation in spatially inhomogeneous systems, Prediction of the evolution of the dispersed phase in bubbly flow problems, A numerical framework for computing steady states of structured population models and their stability, Numerical calculation of the moments of the population balance equation, Spectral solution of the breakage-coalescence population balance equation Picard and Newton iteration methods, Time-property least-squares spectral method for population balance equations

Cites Work

• Unnamed Item
• Space-time coupled spectral/\(hp\) least-squares finite element formulation for the incompressible Navier-Stokes equations
• Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
• Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
• A least-squares spectral element formulation for the Stokes problem
• The use of Chebyshev polynomials in the space-time least-squares spectral element method
• Least-squares spectral element method for non-linear hyperbolic differential equations
• Numerical calculation of the moments of the population balance equation
• On the solution of statistical models of cell populations
• High-Order Methods for Incompressible Fluid Flow