A multilevel finite volume method with multiscale-based grid adaptation for steady compressible flows

DOI10.1016/j.cam.2008.03.035zbMath1160.76030OpenAlexW2061077464MaRDI QIDQ1014538

Youssef Stiriba, Siegfried Müller

Publication date: 29 April 2009

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.2008.03.035

zbMATH Keywords

multiresolution analysistransfer operatorsbump flowFAS multigrid method

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items

WAMR: an adaptive wavelet method for the simulation of compressible reacting flow. Part I: Accuracy and efficiency of algorithm ⋮ Multiresolution scheme for time-dependent Schrödinger equation ⋮ A sequential, implicit, wavelet-based solver for multi-scale time-dependent partial differential equations ⋮ Numerical multi-scaling method to solve the linear stochastic partial differential equations

Uses Software

• PETSc

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An adaptive multiscale finite volume solver for unsteady and steady state flow computations
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Average-state Jacobians and implicit methods for compressible viscous and turbulent flows
• The fast adaptive composite-grid method (FAC): Algorithms for advanced computers
• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• Local decomposition of refinable spaces and wavelets
• Multigrid Methods for Variational Problems: Further Results
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• A multigrid adaptive mesh refinement strategy for 3D aerodynamic design
• Fully adaptive multiresolution finite volume schemes for conservation laws
• Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
• Multiresolution Representation of Data: A General Framework
• Solution of shallow water equations using fully adaptive multiscale schemes