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Development of Implicit Compact Methods for Chemically Reacting Flows

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Bibliographic Details
Title: Development of Implicit Compact Methods for Chemically Reacting Flows
Authors: Smooke, Mitchell D., Long, Marshall
Contributors: YALE UNIV NEW HAVEN CT DEPT OF MECHANICAL ENGINEERING
Source: DTIC
Publication Year: 2009
Collection: Defense Technical Information Center: DTIC Technical Reports database
Subject Terms: Operations Research, Computer Programming and Software, CHEMICAL REACTIONS, FLOW, SOFTWARE TOOLS, COMPUTATIONS, CODING, COMBUSTION, KINETICS, TRANSPORT, ALGORITHMS, PROBLEM SOLVING, TIME DEPENDENCE, COMPACTING, DIAGNOSTIC EQUIPMENT, HIGH-ORDER DISCRETIZATIONS, COMPACT METHODS, IMPLICIT TIME STEPPING
Description: This project has focused on the design of numerical algorithms that are well suited to the computation of time-dependent chemically reacting flows with finite-rate kinetics and detailed transport. High order compact finite differences have been used to discretize the spatial operators since the spectral-like resolution of the small scales makes it feasible to conduct accurate, long-time computations of multi-dimensional flames burning real fuels. In view of the stiffness of the chemical mechanisms characterizing these fuels, implicit time integration techniques have been employed. The fully coupled implicit-compact solver developed during this grant has been successfully applied to a sequence of test problems, from convection-diffusion equations with analytical solutions to multi-component low-speed heated jet flows in two dimensions to a model premixed flame with two step Arrhenius chemistry.
Document Type: text
File Description: text/html
Language: English
Relation: http://www.dtic.mil/docs/citations/ADA495452
Availability: http://www.dtic.mil/docs/citations/ADA495452
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA495452
Rights: Approved for public release; distribution is unlimited.
Accession Number: edsbas.DD825EB3
Database: BASE
Description
Abstract:This project has focused on the design of numerical algorithms that are well suited to the computation of time-dependent chemically reacting flows with finite-rate kinetics and detailed transport. High order compact finite differences have been used to discretize the spatial operators since the spectral-like resolution of the small scales makes it feasible to conduct accurate, long-time computations of multi-dimensional flames burning real fuels. In view of the stiffness of the chemical mechanisms characterizing these fuels, implicit time integration techniques have been employed. The fully coupled implicit-compact solver developed during this grant has been successfully applied to a sequence of test problems, from convection-diffusion equations with analytical solutions to multi-component low-speed heated jet flows in two dimensions to a model premixed flame with two step Arrhenius chemistry.