A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows

DOI10.1007/s10915-018-0881-9zbMath1444.35125OpenAlexW2902813631WikidataQ128814938 ScholiaQ128814938MaRDI QIDQ2311997

Juntao Huang, Weifeng Zhao, Chi-Wang Shu

Publication date: 4 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0881-9

zbMATH Keywords

chemical reactionsfinite differencecompressible Euler equationsthird-order accuracypositivity-preservingproduction-destruction equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Reaction effects in flows (76V05) Euler equations (35Q31)

Related Items (19)

Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms ⋮ Second-order unconditional positive preserving schemes for non-equilibrium reactive flows with mass and mole balance ⋮ On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes ⋮ On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes ⋮ High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows ⋮ On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes ⋮ A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods ⋮ On the dynamics of first and second order GeCo and gBBKS schemes ⋮ An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows ⋮ A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations ⋮ On strictly convex entropy functions for the reactive Euler equations ⋮ Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation ⋮ High-order bound-preserving finite difference methods for multispecies and multireaction detonations ⋮ Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations ⋮ Extension of modified Patankar-Runge-Kutta schemes to nonautonomous production-destruction systems based on Oliver's approach ⋮ Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes ⋮ Positivity preserving stochastic \(\theta\)-methods for selected SDEs ⋮ Issues with positivity-preserving Patankar-type schemes ⋮ Strictly convex entropy and entropy stable schemes for reactive Euler equations

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
• Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
• High-order well-balanced schemes and applications to non-equilibrium flow
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
• Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms
• On order conditions for modified Patankar-Runge-Kutta schemes
• Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems
• Efficient implementation of weighted ENO schemes
• Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows
• Strong Stability-Preserving High-Order Time Discretization Methods
• Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term
• A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model
• Bound-Preserving High-Order Schemes
• Solving Ordinary Differential Equations I
• Iterative Solution Methods
• Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
• A Second-Order Asymptotic-Preserving and Positivity-Preserving Exponential Runge--Kutta Method for a Class of Stiff Kinetic Equations
• Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations

This page was built for publication: A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows