A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation
From MaRDI portal
Publication:1819101
DOI10.1006/jcph.1999.6322zbMath0958.76061OpenAlexW53834710MaRDI QIDQ1819101
Peter S. Wyckoff, Omar M. Knio, Habib N. Najm
Publication date: 15 February 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1999.6322
nonlinear reaction-diffusion equationzero-Mach-number limit\(C_1C_2\) methane-air mechanismcompressible conservation equationsideal gas mixturesecond-order centered differencesstiff operator-split projection schemestiff predictor-corrector approachunsteady two-dimensional reaction flows
Classical flows, reactions, etc. in chemistry (92E20) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Chemically reacting flows (80A32) Reaction effects in flows (76V05)
Related Items
A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration, Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry, Time-accurate and highly-stable explicit operators for stiff differential equations, Large-eddy simulation of natural convection in an asymmetrically-heated vertical parallel-plate channel: assessment of subgrid-scale models, Numerical simulation of laminar reacting flows with complex chemistry, Projection method with self-adaptive time steps for LES of ignition and extinction in non-premixed jet flames, Comparison of direct numerical simulations of turbulent flames using compressible or low-Mach number formulations, A high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracy, A hybrid incremental projection method for thermal-hydraulics applications, A finite volume method with linearisation in time for the solution of advection-reaction-diffusion systems, Towards direct numerical simulations of low-Mach number turbulent reacting and two-phase flows using immersed boundaries, Spatiotemporal pattern formations in stiff reaction-diffusion systems by new time marching methods, A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry, Accelerating moderately stiff chemical kinetics in reactive-flow simulations using GPUs, Dynamic adaptive chemistry with operator splitting schemes for reactive flow simulations, A second-order coupled immersed boundary-SAMR construction for chemically reacting flow over a heat-conducting Cartesian grid-conforming solid, A computationally-efficient, semi-implicit, iterative method for the time-integration of reacting flows with stiff chemistry, Application of the method of manufactured solutions to the verification of a pressure-based finite volume numerical scheme, Adaptive low Mach number simulations of nuclear flame microphysics, Studies on the accuracy of time-integration methods for the radiation-diffusion equations, A fully implicit, compact finite difference method for the numerical solution of unsteady laminar flames, Semi-implicit iterative methods for low Mach number turbulent reacting flows: operator splitting versus approximate factorization, Modeling low Mach number reacting flow with detailed chemistry and transport, A numerical framework for low-speed flows with large thermal variations, Efficient time-stepping techniques for simulating turbulent reactive flows with stiff chemistry, An improved high-order scheme for DNS of low Mach number turbulent reacting flows based on stiff chemistry solver, Studies of the accuracy of time integration methods for reaction-diffusion equations., On mass conservation and solvability of the discretized variable-density zero-Mach Navier-Stokes equations, Second-order splitting schemes for a class of reactive systems, Two-dimensional simulations of steady perforated-plate stabilized premixed flames, A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics, A conservative level set method suitable for variable-order approximations and unstructured meshes, Analysis of methane–air edge flame structure, A stochastic projection method for fluid flow. I: Basic formulation, A spectral radius scaling semi-implicit iterative time stepping method for reactive flow simulations with detailed chemistry, Pseudotransient Continuation for Combustion Simulation with Detailed Reaction Mechanisms, Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems, Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions, Operator-splitting with ISAT to model reacting flow with detailed chemistry, Operator-splitting with ISAT to model reacting flow with detailed chemistry, New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems, A CSP and tabulation-based adaptive chemistry model, A hybrid, non-split, stiff/RKC, solver for advection–diffusion–reaction equations and its application to low-Mach number combustion
Uses Software
Cites Work
- Analysis of parallel diagonally implicit iteration of Runge-Kutta methods
- Application of a fractional-step method to incompressible Navier-Stokes equations
- A second-order projection method for variable-density flows
- Numerical instability due to varying time steps in explicit wave propagation and mechanics calculations
- A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry
- A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
- Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows
- CHEMSODE: A stiff ODE solver for the equations of chemical kinetics
- An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics
- An implicit-explicit hybrid solver for a system of stiff kinetic equations
- A parallel DIRK method for stiff initial-value problems
- On the stability of implicit-explicit linear multistep methods
- Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
- A study of numerical methods for hyperbolic conservation laws with stiff source terms
- A note on splitting errors for advection-reaction equations
- Explicit methods for stiff ODEs from atmospheric chemistry
- An implicit-explicit approach for atmospheric transport-chemistry problems
- A pseudo-non-time-splitting method in air quality modeling
- Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
- A numerical method for solving incompressible viscous flow problems
- Third order difference methods for hyperbolic equations
- An operator splitting algorithm for coupled one-dimensional advection-diffusion-reaction equations
- Solving Linear Partial Differential Equations by Exponential Splitting
- VODE: A Variable-Coefficient ODE Solver
- Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
- A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
- Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Comparison and analysis of some numerical schemes for stiff complex chemistry problems
- On the Partial Difference Equations of Mathematical Physics
- On the Construction and Comparison of Difference Schemes
- The automatic integration of ordinary differential equations
- Integration of Stiff Equations
- Explicit Runge-Kutta methods for parabolic partial differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
