Evaluation and applicability of a new explicit time integral methodology for transient thermal problems– finite-volume formulations

Youping Mei; Ram V. Mohan; Kumar K Tamma

doi:10.1080/10407799408914932

Evaluation and applicability of a new explicit time integral methodology for transient thermal problems– finite-volume formulations

Youping Mei, Ram V. Mohan, Kumar K Tamma

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The present article describes finite-volume formulations involving a new Virtual-Pulse (VIP) explicit time integral methodology, developed based on a weighted residual process with time-weighting Junctions uniquely selected in the time discretization process, for applicability to general transient linear/nonlinear thermal problems. For transient analysis of thermal problems based on finite-volume space discretization, implicit first-order-accurate direct time integration techniques have been mostly used, although second-order-accurate trapezoidal methods are also suitable. Unlike past work in this area for thermal problems with finite-volume discretization, the present formulations provide an explicit, unconditionally stable, second-order-accurate approach with improved stability characteristics and computational attributes. The present article explores the applicability and evaluation of this new time integral methodology for application to general thermal problems involving linear /nonlinear situations in the context of finite-volume space discretization.

Original language	English (US)
Pages (from-to)	313-333
Number of pages	21
Journal	Numerical Heat Transfer, Part B: Fundamentals
Volume	26
Issue number	3
DOIs	https://doi.org/10.1080/10407799408914932
State	Published - 1994

Bibliographical note

Funding Information:
Received 16 March 1994; accepted 21 June 1994. The authors acknowledge the support, in part, of the NASAJohnson Space Center/Lockheed Engineering and Space Sciences Co., Houston, Texas, and the Army High Performance Computing Research Center, at the University of Minnesota, on a contract from the Army Research Office. Additional support and computer grants were furnished by the Minnesota Supercomputer Institute at the University of Minnesota, Minneapolis, Minnesota. Address correspondence to Kumar K. Tamma, Department of Mechanical Engineering, Institute of Technology, University of Minnesota, 111 Church Street, S.E., Minneapolis, MN 55455-0111, USA.

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Copyright 2016 Elsevier B.V., All rights reserved.

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title = "Evaluation and applicability of a new explicit time integral methodology for transient thermal problems– finite-volume formulations",

abstract = "The present article describes finite-volume formulations involving a new Virtual-Pulse (VIP) explicit time integral methodology, developed based on a weighted residual process with time-weighting Junctions uniquely selected in the time discretization process, for applicability to general transient linear/nonlinear thermal problems. For transient analysis of thermal problems based on finite-volume space discretization, implicit first-order-accurate direct time integration techniques have been mostly used, although second-order-accurate trapezoidal methods are also suitable. Unlike past work in this area for thermal problems with finite-volume discretization, the present formulations provide an explicit, unconditionally stable, second-order-accurate approach with improved stability characteristics and computational attributes. The present article explores the applicability and evaluation of this new time integral methodology for application to general thermal problems involving linear /nonlinear situations in the context of finite-volume space discretization.",

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note = "Funding Information: Received 16 March 1994; accepted 21 June 1994. The authors acknowledge the support, in part, of the NASAJohnson Space Center/Lockheed Engineering and Space Sciences Co., Houston, Texas, and the Army High Performance Computing Research Center, at the University of Minnesota, on a contract from the Army Research Office. Additional support and computer grants were furnished by the Minnesota Supercomputer Institute at the University of Minnesota, Minneapolis, Minnesota. Address correspondence to Kumar K. Tamma, Department of Mechanical Engineering, Institute of Technology, University of Minnesota, 111 Church Street, S.E., Minneapolis, MN 55455-0111, USA. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",

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Evaluation and applicability of a new explicit time integral methodology for transient thermal problems– finite-volume formulations

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