Limiter-free discontinuity-capturing scheme for compressible gas dynamics with reactive fronts
This work proposes a new spatial reconstruction scheme in finite volume frameworks.
Different from long-lasting reconstruction processes which employ high order polynomials …
Different from long-lasting reconstruction processes which employ high order polynomials …
A modified fractional step method for the accurate approximation of detonation waves
C Helzel, RJ Leveque, G Warnecke - SIAM Journal on Scientific Computing, 2000 - SIAM
The numerical approximation of combustion processes may lead to numerical difficulties,
which are caused by different time scales of the transport part and the reactive part of the …
which are caused by different time scales of the transport part and the reactive part of the …
High order finite difference methods with subcell resolution for advection equations with stiff source terms
A new high order finite-difference method utilizing the idea of Harten ENO subcell resolution
method is proposed for chemical reactive flows and combustion. In reaction problems, when …
method is proposed for chemical reactive flows and combustion. In reaction problems, when …
Numerical solution of under-resolved detonations
L Tosatto, L Vigevano - Journal of Computational Physics, 2008 - Elsevier
A new fractional-step method is proposed for the numerical solution of high speed reacting
flows, where the chemical time scales are often much smaller than the fluid dynamical time …
flows, where the chemical time scales are often much smaller than the fluid dynamical time …
Solution property preserving reconstruction for finite volume scheme: a boundary variation diminishing+ multidimensional optimal order detection framework
S Tann, X Deng, Y Shimizu… - … Journal for Numerical …, 2020 - Wiley Online Library
The purpose of this work is to build a general framework to reconstruct the underlying fields
within a finite volume (FV) scheme solving a hyperbolic system of PDEs (Partial Differential …
within a finite volume (FV) scheme solving a hyperbolic system of PDEs (Partial Differential …
New accurate and efficient method for stiff detonation capturing
An alternative approach to prevent spurious behavior caused by conventional shock-
capturing schemes when solving stiff detonation wave problems is introduced. In …
capturing schemes when solving stiff detonation wave problems is introduced. In …
High order finite difference methods with subcell resolution for stiff multispecies discontinuity capturing
In this paper, we extend the high order finite-difference method with subcell resolution (SR)
in [34] for two-species stiff one-reaction models to multispecies and multireaction inviscid …
in [34] for two-species stiff one-reaction models to multispecies and multireaction inviscid …
The random projection method for stiff multispecies detonation capturing
In this paper we extend the random projection method, proposed for general hyperbolic
systems with stiff reaction terms, for underresolved numerical simulation of stiff, inviscid …
systems with stiff reaction terms, for underresolved numerical simulation of stiff, inviscid …
Solution property preserving reconstruction BVD+ MOOD scheme for compressible euler equations with source terms and detonations
Abstract In “Solution Property Reconstruction for Finite Volume scheme: a BVD+ MOOD
framework”, Int. J. Numer. Methods Fluids, 2020, we have designed a novel solution …
framework”, Int. J. Numer. Methods Fluids, 2020, we have designed a novel solution …
[HTML][HTML] A split random time-stepping method for stiff and nonstiff detonation capturing
In this paper, a new operator splitting method is proposed for capturing stiff and nonstiff
detonation waves. In stiff cases, an incorrect propagation of discontinuities might be …
detonation waves. In stiff cases, an incorrect propagation of discontinuities might be …