Spectral Element Methods for Transitional Flows in Complex Geometries

被引：72
|
作者：
Fischer, Paul F. [1 ]
Kruse, Gerald W. [2 ]
Loth, Francis [3 ]
机构：
[1] Argonne Natl Lab, Div Math & Comp Sci, Argonne, IL 60439 USA
[2] Juniata Coll, Dept Math & Comp Sci, Huntingdon, PA 16652 USA
[3] Univ Illinois, Dept Mech Engn, Chicago, IL 60607 USA
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期
关键词：
Spectral elements; incompressible Navier-Stokes; filtering; biofluid dynamics; nonconforming methods;
D O I：
10.1023/A:1015188211796
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe the development and implementation of an efficient spectral element code for simulating transitional flows in complex three-dimensional domains. Critical to this effort is the use of geometrically nonconforming elements that allow localized refinement in regions of interest, coupled with a stabilized high-order time-split formulation of the semi-discrete Navier-Stokes equations. Simulations of transition in a model of an arteriovenous graft illustrate the potential of this approach in biomechanical applications.
引用
收藏
页码：81 / 98
页数：18
相关论文
共 50 条
  • [31] Steady and Pulsating Turbulent Flows in Complex Pipe Geometries
    Colonia, Simone
    Romano, Giovanni P.
    JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 2014, 136 (11):
  • [32] A Brinkman penalization method for compressible flows in complex geometries
    Liu, Qianlong
    Vasilyev, Oleg V.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 227 (02) : 946 - 966
  • [33] MULTIGRID CALCULATION PROCEDURE FOR INTERNAL FLOWS IN COMPLEX GEOMETRIES
    JOSHI, DS
    VANKA, SP
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1991, 20 (01) : 61 - 80
  • [34] CALCULATION PROCEDURE FOR VISCOUS INCOMPRESSIBLE FLOWS IN COMPLEX GEOMETRIES
    KARKI, KC
    PATANKAR, SV
    NUMERICAL HEAT TRANSFER, 1988, 14 (03): : 295 - 307
  • [35] A high resolution spectral element approximation of viscoelastic flows in axisymmetric geometries using a DEVSS-G/DG formulation
    Kynch, R. M.
    Phillips, T. N.
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2017, 240 : 15 - 33
  • [36] Finite Element Analysis of Turbulent Flows Using LES and Dynamic Subgrid-Scale Models in Complex Geometries
    Wang Wenquan
    Zhang Lixiang
    Yan Yan
    Guo Yakun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
  • [37] Mimetic Spectral Element Methods
    Gerritsma, Marc
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [38] Parallelization of spectral element methods
    Airiau, S
    Azaïez, M
    Ben Belgacem, F
    Guivarch, R
    HIGH PERFORMANCE COMPUTING FOR COMPUTATIONAL SCIENCE - VECPAR 2002, 2003, 2565 : 392 - 403
  • [39] Idempotent filtering in spectral and spectral element methods
    Kanevsky, Alex
    Carpenter, Mark H.
    Hesthaven, Jan S.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 220 (01) : 41 - 58
  • [40] Spectral Element Discretization of the Stokes Equations in Deformed Axisymmetric Geometries
    Belhachmi, Zakaria
    Karageorghis, Andreas
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2011, 3 (04) : 448 - 469
12345