ADAPTIVE FINITE ELEMENT METHODS FOR REACTIVE COMPRESSIBLE FLOW

DOI10.1142/S0218202599000129zbMath0944.76038MaRDI QIDQ4270565

Robert Sandboge

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

chemical reactionscompressible flowa posteriori error estimatetwo-dimensional Riemann problemadaptive streamline diffusion finite element methodconservation variablesstability factor

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Chemically reacting flows (80A32) Reaction effects in flows (76V05)

Related Items (9)

Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation ⋮ A posteriori error estimates for the coupling equations of scalar conservation laws ⋮ The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems ⋮ Multi-adaptive time integration. ⋮ The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems ⋮ Streamline diffusion method for treating coupling equations of hyperbolic scalar conservation laws ⋮ Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica. ⋮ Numerical simulation of laminar flames at low Mach number by adaptive finite elements ⋮ Adaptive Lagrange–Galerkin methods for unsteady convection-diffusion problems

Cites Work

• A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
• Adaptive streamline diffusion methods for compressible flow using conservation variables
• A data parallel finite element method for computational fluid dynamics on the Connection Machine system
• A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis
• A Qualitative Model for Dynamic Combustion

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