A CRITICAL ASSESSMENT OF TWO-STAGE COMPOSITE TIME INTEGRATION SCHEMES WITH A UNIFIED SET OF TIME APPROXIMATIONS

WOORAM KIM; J.N. REDDY

doi:10.1590/1679-78256470

A CRITICAL ASSESSMENT OF TWO-STAGE COMPOSITE TIME INTEGRATION SCHEMES WITH A UNIFIED SET OF TIME APPROXIMATIONS

Authors

WOORAM KIM DEPARTMENT OF MECHANICAL ENGINEERING KOREA ARMY ACADEMY AT YEONGCHEON, YEONGCHEON-SI, GYEONGSANGBUK-DO 38900, REPUBLIC OF KOREA HTTPS://ORCID.ORG/0000-0002-3925-3502
J.N. REDDY J. MIKE WALKER ’66 DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY, COLLEGE STATION, TEXAS 77843-3123, USA HTTPS://ORCID.ORG/0000-0003-4705-0745

DOI:

https://doi.org/10.1590/1679-78256470

Abstract

A SIMPLE UNIFIED SET OF DISPLACEMENT AND VELOCITY APPROXIMATIONS IS PRESENTED TO EXPRESS VARIOUS TWO-STAGE COMPOSITE TIME INTEGRATION SCHEMES. BASED ON THE UNIFIED APPROXIMATIONS, TWO NOVEL SETS OF OPTIMIZED PARAMETERS ARE NEWLY PROPOSED FOR THE IMPLICIT COMPOSITE SCHEMES TO ENHANCE THE CAPABILITY OF CONSERVING TOTAL ENERGY. TWO SPECIAL CASES OF THE UNIFIED APPROXIMATIONS ARE ALSO CONSIDERED TO OVERCOME SOME SHORTCOMINGS OF THE EXISTING SCHEMES. BESIDES, THE NEWLY PROPOSED UNIFIED SET OF APPROXIMATIONS CAN INCLUDE MANY OF THE EXISTING COMPOSITE TIME INTEGRATION SCHEMES. TO BE SPECIFIC, BOTH IMPLICIT AND EXPLICIT COMPOSITE SCHEMES CAN BE EXPRESSED BY USING THE UNIFIED SET OF APPROXIMATIONS. THUS, BOTH IMPLICIT AND EXPLICIT TYPES OF COMPOSITE SCHEMES CAN BE SELECTED FROM THE UNIFIED SET BY SIMPLY CHANGING ALGORITHMIC PARAMETERS. TO DEMONSTRATE ADVANTAGEOUS FEATURES OF THE PROPOSED UNIFIED SET OF APPROXIMATIONS, VARIOUS NUMERICAL EXAMPLES ARE SOLVED AND RESULTS ARE ANALYZED.

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Published

2021-03-08

Issue

Vol. 18 No. 4 (2021)

Section

Articles

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