| dc.creator |
Schmitt, AS |
|
| dc.creator |
Schreiber, M |
|
| dc.creator |
Peixoto, PSP |
|
| dc.creator |
Schäfer, MS |
|
| dc.date |
2017-11-10T10:39:15Z |
|
| dc.date |
2018-06-06 |
|
| dc.identifier |
Published online 06 June 2018. |
|
| dc.identifier |
10.1007/s00791-018-0294-1 |
|
| dc.identifier |
http://hdl.handle.net/10871/30261 |
|
| dc.identifier |
Computing and Visualization in Science |
|
| dc.description |
This is the author accepted manuscript. The final version is available from Springer via the DOI in this record. |
|
| dc.description |
This work focuses on the Parareal parallelin-time
method and its application to the viscous Burgers
equation. A crucial component of Parareal is the
coarse time stepping scheme, which strongly impacts
the convergence of the parallel-in-time method. Three
choices of coarse time stepping schemes are investigated
in this work: explicit Runge-Kutta, implicit-explicit
Runge-Kutta, and implicit Runge-Kutta with semiLagrangian
advection.
Manufactured solutions are used to conduct studies,
which provide insight into the viability of each considered
time stepping method for the coarse time step of
Parareal. One of our main findings is the advantageous convergence behavior of the semi-Lagrangian scheme
for advective flows. |
|
| dc.description |
Schmitt: The work of this author is supported by the ’Excellence
Initiative’ of the German Federal and State Governments
and the Graduate School of Computational Engineering
at Technische Universit¨at Darmstadt
Peixoto: Acknowledges the Sao Paulo Research Foundation
(FAPESP) under the grant number 2016/18445-7 and the National
Science and Technology Development Council (CNPq)
under grant number 441328/2014-8 |
|
| dc.language |
en |
|
| dc.publisher |
Springer Verlag |
|
| dc.rights |
© Springer-Verlag GmbH Germany, part of Springer Nature 2018. |
|
| dc.rights |
2019-06-06 |
|
| dc.rights |
Under embargo until 06 June 2019 in compliance with publisher policy. |
|
| dc.subject |
Parareal |
|
| dc.subject |
Burgers’ equation |
|
| dc.subject |
SemiLagrangian |
|
| dc.subject |
Runge-Kutta |
|
| dc.subject |
parallel-in-time |
|
| dc.title |
A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers equation |
|
| dc.type |
Article |
|