An adaptive projection method for the modeling of unsteady, low-Mach number combustion

Conference · Wed Oct 01 04:00:00 EDT 1997

OSTI ID:307825

Pember, R B; Howell, L H; Bell, J B; Colella, P; Crutchfield, W Y ^[1]; Fiveland, W A; Jesse, J P ^[2]

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1. Lawrence Berkeley National Lab., CA (United States)
2. Babcock and Wilcox, Alliance, OH (United States)

In this paper the authors present an adaptive projection method for modeling unsteady, low-Mach reacting flow in an unconfined region. The equations they solve are based on a model for low-Mach number combustion that consists of the evolution equations for density, species concentrations, enthalpy, and momentum coupled with a constraint on the divergence of the flow. The algorithm is based on a projection methodology in which they first advance the evolution equations and then solve an elliptic equation to enforce the divergence constraint. The adaptive mesh refinement (AMR) scheme uses a time-varying, hierarchical grid structure composed of uniform rectangular grids of varying resolution. The integration scheme on the grid hierarchy is a recursive procedure in which a coarse grid is advanced, fine grids are advanced multiple steps to reach the same time as the coarse grid, and the coarse and the fine grids are synchronized. The method is valid for multiple grids on each level and multiple levels of refinement. The method is currently implemented for laminar, axisymmetric flames with a reduced kinetics mechanism and a Lewis number of unity. Two methane-air flames, one steady and the other flickering, are presented as numerical examples.

• Research Organization: Lawrence Berkeley National Lab., CA (United States)
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 307825
• Report Number(s): LBL--38551; CONF-9710126--; ON: DE98051515
• Country of Publication: United States
• Language: English

Related Subjects

03 NATURAL GAS
40 CHEMISTRY
CALCULATION METHODS
COMBUSTION KINETICS
COORDINATES
FLOW RATE
MATHEMATICAL MODELS
MESH GENERATION
METHANE