Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method

Matteo Parsani; David I. Ketcheson; Willem Deconinck

Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method

Matteo Parsani, David I. Ketcheson, Willem Deconinck

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Optimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.

Original language	English (US)
Title of host publication	Proceedings of the 11th Finnish Mechanics Days
Publisher	University of Oulu
State	Published - 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

Access to Document

https://repository.kaust.edu.sa/bitstream/10754/333613/1/meka2012_proceedings_parsani_ketcheson_deconinck1.pdf

Cite this

@inproceedings{6d7c6d31b7a649249c7f5d750d215852,

title = "Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method",

abstract = "Optimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.",

author = "Matteo Parsani and Ketcheson, {David I.} and Willem Deconinck",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2012",

language = "English (US)",

booktitle = "Proceedings of the 11th Finnish Mechanics Days",

publisher = "University of Oulu",

address = "Finland",

}

TY - GEN

T1 - Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method

AU - Parsani, Matteo

AU - Ketcheson, David I.

AU - Deconinck, Willem

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2012

Y1 - 2012

N2 - Optimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.

AB - Optimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.

UR - http://hdl.handle.net/10754/333613

UR - http://www.oulu.fi/mekapaivat2012/meka2012_proceedings.pdf

M3 - Conference contribution

BT - Proceedings of the 11th Finnish Mechanics Days

PB - University of Oulu

ER -

Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this