New high order implicit-explicit Runge-Kutta methods have been developed and implemented into a finite volume code to solve the Navier-Stokes equations for reacting gas mixtures. The resulting nonlinear systems in each stage are solved by Newtons method. If only the chemistry is treated implicitly, the linear systems in each Newton iteration are simple and solved directly. If in addition certain convection or diffusion terms are treated implicitly as well, the sparse linear systems in each Newton iteration are solved by preconditioned GMRES. Numerical simulations of deflagration-to-detonation transition (DDT) show the potential of the new time integration for computaional combustion
For unstructured finite volume methods, we present a line implicit Runge–Kutta method applied as smo...
The Kinetic PreProcessor (KPP) is a widely used software environment which generates Fortran90, Fort...
The convergence of a Runge-Kutta (RK) scheme with multigrid is accelerated by preconditioning with a...
Key words: Semi-implicit methods, stiff problems, combustion, deflagration-to-detonation transition ...
This paper is concerned with time-stepping numerical methods for computing stiff semi-discrete syste...
Abstract: Numerical simulation of supersonic combustion of hydrogen in air has been done using point...
New explicit Runge-Kutta methods are presented for time integration of the incompressible Navier-Sto...
We consider possibly sti# and implicit systems of ordinary di#erential equations (ODEs). The major d...
In this paper we continue the study of the Diagonally IMplicit-EXplicit Runge-Kutta (DIMEX-RK) metho...
This report describes the implementation of a Runge-Kutta iterationboth for mixture-averaged and fo...
The present research was conducted thanks to a Ph.D grant co-funded by DGA, Ministry of Defence (E. ...
The aim of this paper is to report on a recently developed fully coupled and fully implicit solver f...
Talk given at the Institute for Computational Engineering and Sciences, University of Texas at Austi...
We focus our attention on the numerical simulations of compressible flows obtained by using Finite D...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
For unstructured finite volume methods, we present a line implicit Runge–Kutta method applied as smo...
The Kinetic PreProcessor (KPP) is a widely used software environment which generates Fortran90, Fort...
The convergence of a Runge-Kutta (RK) scheme with multigrid is accelerated by preconditioning with a...
Key words: Semi-implicit methods, stiff problems, combustion, deflagration-to-detonation transition ...
This paper is concerned with time-stepping numerical methods for computing stiff semi-discrete syste...
Abstract: Numerical simulation of supersonic combustion of hydrogen in air has been done using point...
New explicit Runge-Kutta methods are presented for time integration of the incompressible Navier-Sto...
We consider possibly sti# and implicit systems of ordinary di#erential equations (ODEs). The major d...
In this paper we continue the study of the Diagonally IMplicit-EXplicit Runge-Kutta (DIMEX-RK) metho...
This report describes the implementation of a Runge-Kutta iterationboth for mixture-averaged and fo...
The present research was conducted thanks to a Ph.D grant co-funded by DGA, Ministry of Defence (E. ...
The aim of this paper is to report on a recently developed fully coupled and fully implicit solver f...
Talk given at the Institute for Computational Engineering and Sciences, University of Texas at Austi...
We focus our attention on the numerical simulations of compressible flows obtained by using Finite D...
The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–Stokes equatio...
For unstructured finite volume methods, we present a line implicit Runge–Kutta method applied as smo...
The Kinetic PreProcessor (KPP) is a widely used software environment which generates Fortran90, Fort...
The convergence of a Runge-Kutta (RK) scheme with multigrid is accelerated by preconditioning with a...
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