Exploiting ISAT to solve the reaction–diffusion equation

DOI10.1088/1364-7830/8/2/009zbMath1068.80538OpenAlexW1979756656MaRDI QIDQ5316788

Michael A. Singer, Stephen B. Pope

Publication date: 15 September 2005

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1364-7830/8/2/009

Mathematics Subject Classification ID

Related Items (13)

Computationally efficient implementation of combustion chemistry in parallel PDF calculations ⋮ Efficient implementation of chemistry in computational combustion ⋮ Comparison of well-mixed and multiple representative interactive flamelet approaches for diesel spray combustion modelling ⋮ Acceleration of supersonic/hypersonic reactive CFD simulations via heterogeneous CPU-GPU Supercomputing ⋮ LES to ease understanding of complex unsteady combustion features of ramjet burners ⋮ A fully adaptive reaction-diffusion integration scheme with applications to systems biology ⋮ Generalized in situ adaptive tabulation for constitutive model evaluation in plasticity ⋮ Second-order splitting schemes for a class of reactive systems ⋮ The performance ofin situadaptive tabulation in computations of turbulent flames ⋮ Adaptive sampling in hierarchical simulation ⋮ Operator-splitting with ISAT to model reacting flow with detailed chemistry ⋮ Operator-splitting with ISAT to model reacting flow with detailed chemistry ⋮ A call to arms for task parallelism in multi-scale materials modeling

Uses Software

• LAPACK
• VODE

Cites Work

• A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry
• Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows
• An implicit-explicit hybrid solver for a system of stiff kinetic equations
• An analysis of operator splitting techniques in the stiff case
• Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• VODE: A Variable-Coefficient ODE Solver
• LAPACK Users' Guide
• Computationally efficient implementation of combustion chemistry usingin situadaptive tabulation
• Nth-Order Operator Splitting Schemes and Nonreversible Systems
• On the Construction and Comparison of Difference Schemes
• Explicit time-scale splitting algorithm for stiff problems: Auto-ignition of gaseous mixtures behind a steady shock
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