Use of 2-D-adaptive mesh in simulation of combustion front phenomena

Degrève, Jan; Dimitriou, Pavlos; Puszynski, Jan A.; Hlaváček, Vladimír; Valone, Steven M.; Behrens, Robert G.

doi:10.1016/0098-1354(87)87017-5

Cited by 19 publications

(14 citation statements)

References 7 publications

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“…Professor Hlavacek established a very active research group which focused its research on both experimental studies and mathematical modeling of self-sustaining reactions and materials engineering aspects of combustion synthesis. Due to the access to parallel computer processors in mid 1985, his research modeling team was able to simulate complex combustion patterns, including transition to chaos, breaking of symmetry, fingering effects, multiple spinning waves in two and three dimensions, as well as complex behavior of the combustion front during gassolid reactions [64][65][66][67][68][69][70][71][72][73][74][75][76]. Figure 2 shows the transition to chaos via period doubling in gasless reacting systems.…”

Section: Combustion Synthesis Research In Usa After 1980mentioning

confidence: 99%

Historical perspective and contribution of US researchers into the field of self-propagating high-temperature synthesis (SHS)/combustion synthesis (CS): Personal reflections

McCauley

Puszynski

2008

Int. J Self-Propag. High-Temp. S

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Section: Combustion Synthesis Research In Usa After 1980mentioning

confidence: 99%

Historical perspective and contribution of US researchers into the field of self-propagating high-temperature synthesis (SHS)/combustion synthesis (CS): Personal reflections

McCauley

Puszynski

2008

Int. J Self-Propag. High-Temp. S

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“…For more information on this we refer the reader to [15] different forms such as CRCLF ("Chain Rule Conservation Law Form") or SCLF ("Strong Conservation Law Form") as well as their appropriateness for computation purposes are discussed. Such an approach has been used by Degreve et al [13] for the solution of a reaction-diffusion problem on a two-dimensional mesh. The transformed equations, however, become more complex than the original equation due to the presence of additional terms in space discretization ("cross derivatives") and the convective-type terms due to the movement of the grid.…”

Section: Discretization For Nonorthogonal Meshmentioning

confidence: 98%

“…Avoiding the formation of nonconvex cells required the development of a grid-point movement-limiting algorithm. For details on the adaptive mesh algorithm for a generalized 2D grid, the reader is referred to [13]; and for details on the grid-point-limiting algorithm to Degreve [14].…”

Section: Discretization Of Physical Domain and Adaptive Mesh Generationmentioning

confidence: 99%

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An Explicit 3d Finite-Volume Method for Simulation of Reactive Flows Using a Hybrid Moving Adaptive Grid

Dandekar

Hlaváček

Degrève

1993

Numerical Heat Transfer, Part B: Fundamentals

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Simulation of reactive flows often involves resolution of regions of steep gradients as well as varying time scales. A finite-volume formulation on a hybrid generalized moving adaptive mesh grid along with an explicit time integration scheme is presented. The algorithm is tested by simulating the filtration combustion process in three dimensions. lmportaru considerations such as the geometric conservation law for moving grids and its compliance for the finite-volume method are discussed. Applicabitity of this algorithm to vector and coarse-grain parallel architectures is also discussed. Simulation results have for the first time predicted the presence of three-dimensional instabilities in filtration combustion. Good agreement has been found with experimental observations.

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“…An optimal balance between smoothness and adaption is necessary. Details of this algorithm are presented elsewhere (Degreve, 1989).…”

Section: Numerical Solutionmentioning

confidence: 99%

Reaction Front Propagation Characteristics in Non-Catalytic Exothermic Gas-Solid Systems

Dandekar

Puszynski

Degrève

et al. 1990

Chemical Engineering Communications

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Synthesis of transition metal nitrides and hydrides can be accomplished in the self propagating high temperature regime. A one dimensional model is proposed to study the effects of various operating parameters on the stability of the combustion front, to which gaseous oxidizer is fed by a process of filtration through the permeable solid. Different propagation phenomena can exist depending on the pressure of the gaseous reactant. The stability criteria derived for solid-solid systems can be extended for gas-solid systems at high pressures. At very low pressures filtration combustion is always stable. Systems which show unstable front propagation under adiabatic conditions have been observed to become more unstable due to heat losses.

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Use of 2-D-adaptive mesh in simulation of combustion front phenomena

Cited by 19 publications

References 7 publications

Historical perspective and contribution of US researchers into the field of self-propagating high-temperature synthesis (SHS)/combustion synthesis (CS): Personal reflections

Historical perspective and contribution of US researchers into the field of self-propagating high-temperature synthesis (SHS)/combustion synthesis (CS): Personal reflections

An Explicit 3d Finite-Volume Method for Simulation of Reactive Flows Using a Hybrid Moving Adaptive Grid

Reaction Front Propagation Characteristics in Non-Catalytic Exothermic Gas-Solid Systems

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