TY - GEN
T1 - A high-order discontinuous galerkin solver with dynamic adaptive mesh refinement to simulate cloud formation processes
AU - Krenz, Lukas
AU - Rannabauer, Leonhard
AU - Bader, Michael
N1 - Publisher Copyright:
© The Author(s).
PY - 2020
Y1 - 2020
N2 - We present a high-order discontinuous Galerkin (dg) solver of the compressible Navier-Stokes equations for cloud formation processes. The scheme exploits an underlying parallelized implementation of the ader-dg method with dynamic adaptive mesh refinement. We improve our method by a pde-independent general refinement criterion, based on the local total variation of the numerical solution. While established methods use numerics tailored towards the specific simulation, our scheme works scenario independent. Our generic scheme shows competitive results for both classical cfd and stratified scenarios. We focus on two dimensional simulations of two bubble convection scenarios over a background atmosphere. The largest simulation here uses order 6 and 6561 cells which were reduced to 1953 cells by our refinement criterion.
AB - We present a high-order discontinuous Galerkin (dg) solver of the compressible Navier-Stokes equations for cloud formation processes. The scheme exploits an underlying parallelized implementation of the ader-dg method with dynamic adaptive mesh refinement. We improve our method by a pde-independent general refinement criterion, based on the local total variation of the numerical solution. While established methods use numerics tailored towards the specific simulation, our scheme works scenario independent. Our generic scheme shows competitive results for both classical cfd and stratified scenarios. We focus on two dimensional simulations of two bubble convection scenarios over a background atmosphere. The largest simulation here uses order 6 and 6561 cells which were reduced to 1953 cells by our refinement criterion.
KW - Adaptive mesh refinement
KW - Navier-Stokes
KW - ader-dg
UR - http://www.scopus.com/inward/record.url?scp=85083959414&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-43229-4_27
DO - 10.1007/978-3-030-43229-4_27
M3 - Conference contribution
AN - SCOPUS:85083959414
SN - 9783030432287
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 311
EP - 323
BT - Parallel Processing and Applied Mathematics - 13th International Conference, PPAM 2019, Revised Selected Papers
A2 - Wyrzykowski, Roman
A2 - Karczewski, Konrad
A2 - Deelman, Ewa
A2 - Dongarra, Jack
PB - Springer
T2 - 13th International Conference on Parallel Processing and Applied Mathematics, PPAM 2019
Y2 - 8 September 2019 through 11 September 2019
ER -