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High-order implicit time-marching me...

Boom, Pieter David.

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High-order implicit time-marching methods for unsteady fluid flow simulation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	High-order implicit time-marching methods for unsteady fluid flow simulation./
Author:	Boom, Pieter David.
Description:	161 p.
Notes:	Source: Dissertation Abstracts International, Volume: 77-06(E), Section: B.
Contained By:	Dissertation Abstracts International77-06B(E).
Subject:	Aerospace engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3746572
ISBN:	9781339400204

High-order implicit time-marching methods for unsteady fluid flow simulation.
Boom, Pieter David.

High-order implicit time-marching methods for unsteady fluid flow simulation. - 161 p.

Source: Dissertation Abstracts International, Volume: 77-06(E), Section: B.

Thesis (Ph.D.)--University of Toronto (Canada), 2015.

Unsteady computational fluid dynamics (CFD) is increasingly becoming a critical tool in the development of emerging technologies and modern aircraft. In spite of rapid mathematical and technological advancement, these simulations remain computationally intensive and time consuming. More efficient temporal integration will promote a wider use of unsteady analysis and extend its range of applicability. This thesis presents an investigation of efficient high-order implicit time-marching methods for application in unsteady compressible CFD.

ISBN: 9781339400204Subjects--Topical Terms:

1002622
Aerospace engineering.

High-order implicit time-marching methods for unsteady fluid flow simulation.
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020 $a 9781339400204
035 $a (MiAaPQ)AAI3746572
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100 1 $a Boom, Pieter David. $3 3193231
245 1 0 $a High-order implicit time-marching methods for unsteady fluid flow simulation.
300 $a 161 p.
500 $a Source: Dissertation Abstracts International, Volume: 77-06(E), Section: B.
500 $a Adviser: David W. Zingg.
502 $a Thesis (Ph.D.)--University of Toronto (Canada), 2015.
520 $a Unsteady computational fluid dynamics (CFD) is increasingly becoming a critical tool in the development of emerging technologies and modern aircraft. In spite of rapid mathematical and technological advancement, these simulations remain computationally intensive and time consuming. More efficient temporal integration will promote a wider use of unsteady analysis and extend its range of applicability. This thesis presents an investigation of efficient high-order implicit time-marching methods for application in unsteady compressible CFD.
520 $a A generalisation of time-marching methods based on summation-by-parts (SBP) operators is described which reduces the number of stages required to obtain a prescribed order of accuracy, thus improving their efficiency. The classical accuracy and stability theory is formally extended for these generalised SBP (GSBP) methods, including superconvergence and nonlinear stability. Dual-consistent SBP and GSBP time-marching methods are shown to form a subclass of implicit Runge-Kutta methods, which enables extensions of nonlinear accuracy and stability results. A novel family of fully-implicit GSBP Runge-Kutta schemes based on Gauss quadrature are derived which are both algebraically stable and L-stable with order 2s - 1, where s is the number of stages.
520 $a In addition, a numerical tool is developed for the construction and optimisation of general linear time-marching methods. The tool is applied to the development of several low-stage-order L-stable diagonally-implicit methods, including a diagonally-implicit GSBP Runge-Kutta scheme. The most notable and efficient method developed is a six-stage fifth-order L-stable stiffly-accurate explicit-first-stage singly-diagonally-implicit Runge-Kutta (ESDIRK5) method with stage order two. The theoretical results developed in this thesis are supported by numerical simulations, and the predicted relative efficiency of the schemes is realised.
590 $a School code: 0779.
650 4 $a Aerospace engineering. $3 1002622
650 4 $a Plasma physics. $3 3175417
650 4 $a Applied mathematics. $3 2122814
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710 2 $a University of Toronto (Canada). $b Aerospace Science and Engineering. $3 2105951
773 0 $t Dissertation Abstracts International $g 77-06B(E).
790 $a 0779
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3746572