Results 1 
7 of
7
Mathematical models for thermally coupled low speed flows
 Advances in Theoretical and Applied Mechanics 2009
"... In this paper we review and clarify some aspects of the asymptotic analysis of the compressible Navier Stokes equations in the low Mach number limit. In the absence of heat exchange (the isentropic regime) this limit is well understood and rigorous results are available. When heat exchange is consid ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
(Show Context)
In this paper we review and clarify some aspects of the asymptotic analysis of the compressible Navier Stokes equations in the low Mach number limit. In the absence of heat exchange (the isentropic regime) this limit is well understood and rigorous results are available. When heat exchange is considered different simplified models can be obtained, the most famous being the Boussinesq approximation. Here a unified formal justification of these models is presented, paying special attention to the relation between the low Mach number and the Boussinesq approximations. Precise conditions for their validity are given for classical problems in bounded domains.
Simulation of the Gas Dynamics in a
, 2012
"... This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. ..."
Abstract
 Add to MetaCart
(Show Context)
This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon.
One contribution of 13 to a Theme Issue
"... particulate formation in turbulent flames via massively parallel direct numerical ..."
Abstract
 Add to MetaCart
(Show Context)
particulate formation in turbulent flames via massively parallel direct numerical
Interaction of Turbulence, Chemistry, and Radiation in Strained Nonpremixed Flames
"... Abstract. This paper provides an overview of recent progress in our development of highfidelity simulation of turbulent combustion with detailed chemistry. In particular, two major accomplishments are presented and discussed: (a) As for the computational aspects, it was recognized that many existin ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract. This paper provides an overview of recent progress in our development of highfidelity simulation of turbulent combustion with detailed chemistry. In particular, two major accomplishments are presented and discussed: (a) As for the computational aspects, it was recognized that many existing techniques to treat inflow and outflow boundary conditions for compressible flow simulations suffered from spurious errors when applied to highly turbulent reacting flow problems. Upon careful examination, the sources of these problems have been identified and an improved characteristic boundary condition strategy has been developed. The new method has been applied to various test problems, thereby demonstrating that the improved boundary conditions can successfully reproduce complex combustion events in a finite domain size with desired accuracy and stability. (b) As a science application, more advanced physical models for soot formation and radiative heat transfer have been developed in order to provide fundamental understanding of the interaction among turbulence, chemistry and radiation. We have performed several parametric simulations of twodimensional ethyleneair nonpremixed counterflow flames interacting with counterrotating vortex pairs and injected turbulent flows to investigate transient dynamics of soot formation process. Detailed analysis on the transient characteristics of soot behavior is discussed. 1.
A STABLE PRESSURECORRECTION ALGORITHM FOR LOWSPEED TURBULENT COMBUSTION SIMULATIONS
"... Abstract. To perform accurate LEScalculations of low Mach number flows with nonpremixed combustion, an efficient, robust and accurate algorithm is needed. Socalled pressurecorrection methods are efficient algorithms for this purpose. Those methods are well elaborated for flows with constant dens ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract. To perform accurate LEScalculations of low Mach number flows with nonpremixed combustion, an efficient, robust and accurate algorithm is needed. Socalled pressurecorrection methods are efficient algorithms for this purpose. Those methods are well elaborated for flows with constant density. However, in nonpremixed combustion simulations, the density is variable in time and space, leading to instabilities. In this paper we provide insight in the origin of the instability by examining the test case of a density jump. Further, we propose improvements to existing schemes in order to increase robustness. 1
Full Asymptotic Analysis of the NavierStokes Equations in the Problems of Gas Flows over Bodies with Large Reynolds Number
"... Traditionally, a gas
ow in aerodynamics is assumed to be incompressible in both, outside and inside the boundary layer if the Mach number in the free stream M1 < 0:3 and the characteristic temperature dierence is small enough, otherwise the model for compressible gas
ow is used. At the same tim ..."
Abstract
 Add to MetaCart
(Show Context)
Traditionally, a gas
ow in aerodynamics is assumed to be incompressible in both, outside and inside the boundary layer if the Mach number in the free stream M1 < 0:3 and the characteristic temperature dierence is small enough, otherwise the model for compressible gas
ow is used. At the same time in many practical problems of gas
ows over bodies, for instance in the induced