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.
Bibliographical noteFunding 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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