Explicit time-scale splitting algorithm for stiff problems: Auto-ignition of gaseous mixtures behind a steady shock
From MaRDI portal
Publication:5935507
DOI10.1006/jcph.2001.6709zbMath1037.76045OpenAlexW1997508985MaRDI QIDQ5935507
Mauro Valorani, Dimitrios A. Goussis
Publication date: 2001
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2001.6709
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Combustion (80A25) Reaction effects in flows (76V05)
Related Items
An adaptive time-integration scheme for stiff chemistry based on computational singular perturbation and artificial neural networks, Investigation of the dynamical response of methane/air counterflow flames to inflow mixture composition and flow field perturbations, Algorithmic asymptotic analysis of the NF-\(\kappa\mathrm B\) signaling system, Geometry of the Computational Singular Perturbation Method, Quasi steady state and partial equilibrium approximations: their relation and their validity, The \(G\)-scheme: a framework for multi-scale adaptive model reduction, Reduction of round-off errors in chemical kinetics, Exploiting ISAT to solve the reaction–diffusion equation, Using computational singular perturbation as a diagnostic tool in ODE and DAE systems: a case study in heterogeneous catalysis, Computational singular perturbation analysis of stochastic chemical systems with stiffness, Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanism, CSPlib: a performance portable parallel software toolkit for analyzing complex kinetic mechanisms, Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems, High-order multi-implicit spectral deferred correction methods for problems of reactive flow., Bursting behavior in a non-smooth electric circuit, Physical understanding of complex multiscale biochemical models via algorithmic simplification: glycolysis in saccharomyces cerevisiae, Explicit Integration of Stiff Stochastic Differential Equations via an Efficient Implementation of Stochastic Computational Singular Perturbation, Computational singular perturbation with non-parametric tabulation of slow manifolds for time integration of stiff chemical kinetics, Simplified CSP analysis of a stiff stochastic ODE system, Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method, An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems, Analysis of methane–air edge flame structure, The extension of the ILDM concept to reaction–diffusion manifolds, Simulation of transient turbulent methane jet ignition and combustion under engine-relevant conditions using conditional source-term estimation with detailed chemistry, Construction of a reduced mechanism for modelling premixed combustion of methane–air, An explicit numerical scheme for homogeneous gas-phase high-temperature combustion systems, Discrete Lagrange equations for reacting thermofluid dynamics in arbitrary Lagrangian-Eulerian frames, System decomposition technique for spray modelling in CFD codes, A new Michaelis-Menten equation valid everywhere multi-scale dynamics prevails, A CSP and tabulation-based adaptive chemistry model, Asymptotic analysis of two reduction methods for systems of chemical reactions, The spectral characterisation of reduced order models in chemical kinetic systems, A hybrid, non-split, stiff/RKC, solver for advection–diffusion–reaction equations and its application to low-Mach number combustion
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Flux-split algorithms for flows with non-equilibrium chemistry and vibrational relaxation
- High order explicit methods for parabolic equations
- A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry
- Stabilization of DAEs and invariant manifolds
- Review of preconditioning methods for fluid dynamics
- On the construction and use of reduced chemical kinetic mechanisms produced on the basis of given algebraic relations
- Stabilization of Unstable Procedures: The Recursive Projection Method
- Computation of nonequilibrium, supersonic three-dimensional inviscidflow over blunt-nosed bodies
- Finite-volume method for the calculation of compressible chemically reacting flows
- Asymptotic Solution of Stiff PDEs with the CSP Method: The Reaction Diffusion Equation
- Maintaining Solution Invariants in the Numerical Solution of ODE<scp>s</scp>
- Global reduced mechanisms for methane and hydrogen combustion with nitric oxide formation constructed with CSP data
- Explicit Runge-Kutta methods for parabolic partial differential equations
