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Home Archives Officers Future meetings American Society of Thermal and Fluids Engineering

ISSN Online: 2379-1748

ISBN Print: 978-1-56700-472-4 (Flash Drive)

ISBN Online: 978-1-56700-471-7

3rd Thermal and Fluids Engineering Conference (TFEC)
March, 4–7, 2018, Fort Lauderdale, FL, USA

COMBINED EXPLICIT AND IMPLICIT METHODS FOR TIME INTEGRATION IN PARTIAL DIFFERENTIAL EQUATIONS

Get access pages 151-158
DOI: 10.1615/TFEC2018.cfd.021966

Abstract

Numerical methods for the solution of partial differential equations are broadly categorized as either implicit or explicit. A more recent approach, denominated IMEX, takes advantage of both strategies to form a combined scheme that excels in the solution of problems containing both fast and slow time scales. In this work, a family of multistep IMEX schemes based on Adams methods is used to solve the two-dimensional viscous Burgers' equation, which is one of the fundamental equations in fluid dynamics. Two numerical experiments are proposed, where the exact solution is used to verify the results, and the accuracy of the proposed methods is compared to a fully explicit and a fully implicit implementation.
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