A Parallel Solver for the Time-Periodic Navier-Stokes Equations

被引：3

作者：

Arbenz, Peter ^{[1
]}

Hupp, Daniel ^{[1
]}

Obrist, Dominik

机构：

[1] ETH, Dept Comp Sci, Zurich, Switzerland

来源：

PARALLEL PROCESSING AND APPLIED MATHEMATICS (PPAM 2013), PT II | 2014年 / 8385卷

关键词：

Time-periodic Navier-Stokes; Space-time parallelism; Nonlinear systems of equations; Newton iteration; GMRES;

D O I：

10.1007/978-3-642-55195-6_27

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We investigate parallel algorithms for the solution of the Navier-Stokes equations in space-time. For periodic solutions, the discretized problem can be written as a large non-linear system of equations. This system of equations is solved by a Newton iteration. The Newton correction is computed using a preconditioned GMRES solver. The parallel performance of the algorithm is illustrated.

引用

页码：291 / 300

页数：10

共 50 条

[21] A parallel implicit time accurate Navier-Stokes solver
Jenssen, CB
Sorli, K
PARALLEL COMPUTATIONAL FLUID DYNAMICS: IMPLEMENTATIONS AND RESULTS USING PARALLEL COMPUTERS, 1996, : 625 - 632
[22] 2D stochastic Navier-Stokes equations with a time-periodic forcing term
Da Prato, Giuseppe
Debussche, Arnaud
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2008, 20 (02) : 301 - 335
[23] On the Existence of Time-periodic Solution to the Compressible Heat-conducting Navier-Stokes Equations
Cheng Ming
CommunicationsinMathematicalResearch, 2019, 35 (01) : 35 - 56
[24] TIME-PERIODIC STRONG SOLUTIONS OF THE 3D NAVIER-STOKES EQUATIONS WITH DAMPING
Kim, Yongho
Li, Kwangok
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[25] CONCERNING TIME-PERIODIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN CYLINDRICAL DOMAINS UNDER NAVIER BOUNDARY CONDITIONS
da Veiga, H. Beira
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2006, 19 (04): : 369 - 376
[26] Navier-Stokes simulations of vertical sloshing with time-periodic excitation
Rossi, Daniele
Ubaldini, Davide
Di Giorgio, Simone
Pirozzoli, Sergio
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2023, 167
[27] ON UNIQUE SOLVABILITY OF THE TIME-PERIODIC PROBLEM FOR THE NAVIER-STOKES EQUATION
Nakatsuka, Tomoyuki
ADVANCES IN DIFFERENTIAL EQUATIONS, 2024, 29 (9-10) : 783 - 814
[28] A parallel Navier-Stokes solver using spectral discretisation in time
Hupp, Daniel
Arbenz, Peter
Obrist, Dominik
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2016, 30 (7-10) : 489 - 494
[29] Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow
Brezina, Jan
Kagei, Yoshiyuki
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (06) : 1132 - 1195
[30] A PARALLEL FINITE ELEMENT SOLVER FOR UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
Sistek, J.
TOPICAL PROBLEMS OF FLUID MECHANICS 2015, 2015, : 193 - 198

← 1 2 3 4 5 →