Mass Conservative Coupling Between Fluid Flow and Solute Transport

被引：0

作者：

Fuhrmann, Juergen ^{[1
]}

Linke, Alexander ^{[1
]}

Langmach, Hartmut ^{[1
]}

机构：

[1] Weierstrass Inst, D-10117 Berlin, Germany

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2 | 2011年 / 4卷

关键词：

Incompressible Navier-Stokes Equations; Convection-Diffusion Equation; Finite Element Method; Finite Volume Method; Limiting Current;

D O I：

10.1007/978-3-642-20671-9_50

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a coupled discretization approach for species transport in an incompressible fluid. The Navier-Stokes equations for the flow are discretized by the divergence-free Scott-Vogelius element. The convection-diffusion equation for species transport is discretized by the Voronoi finite volume method. The species concentration fulfills discrete global and local maximum principles. We report convergence results for the coupled scheme and an application of the scheme to the interpretation of limiting current measurements in an electrochemical flow cell.

引用

页码：475 / 483

页数：9

共 50 条

[41] MASS TRANSPORT UNDER OSCILLATORY FLUID FLOW CONDITIONS
HORN, FJM
KIPP, KL
CHEMICAL ENGINEERING SCIENCE, 1967, 22 (12) : 1879 - &
[42] SIMULATION OF MASS-TRANSPORT IN SERIES ARRAYS OF MEMBRANES WITH ACTIVE SOLUTE FLOW
CELENTANO, FC
MONTICELLI, G
COTTINI, F
MATHEMATICAL MODELLING, 1987, 8 : 295 - 299
[43] Numerical studies of groundwater flow, grouting and solute transport in jointed rock mass
Moon, H.K.
Song, M.K.
International Journal of Rock Mechanics and Mining Sciences, 1997, 34 (3-4): : 1 - 206
[44] STANDING-GRADIENT OSMOTIC FLOW - A MECHANISM FOR COUPLING OF WATER AND SOLUTE TRANSPORT IN EPITHELIA
DIAMOND, JM
BOSSERT, WH
JOURNAL OF GENERAL PHYSIOLOGY, 1967, 50 (08): : 2061 - &
[45] Differences in fluid and solute transport between diabetic and nondiabetic patients at the onset of CAPD
Serlie, MJM
Struijk, DG
deBlok, K
Krediet, RT
ADVANCES IN PERITONEAL DIALYSIS/1997, VOL 13: SELECTED PAPERS FROM THE SEVENTEENTH ANNUAL CONFERENCE ON PERITONEAL DIALYSIS, DENVER, COLORADO, FEBRUARY 1997, 1997, 13 : 29 - 32
[46] The Behavior of Fluid Flow and Solute Transport in 3D Crossed Rock Fractures
Han, Xuefeng
Xue, Kangsheng
Zhang, Shaojie
PROCESSES, 2025, 13 (01)
[47] Mathematical characterization of scenarios of fluid flow and solute transport in porous media by discriminated nondimensionalization
Alhama Manteca, I., Jr.
Soto Meca, A.
Alhama, F.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2012, 50 (01) : 1 - 9
[48] A fractional approach to fluid flow and solute transport within deformable saturated porous media
Salomoni, Valentina A.
De Marchi, Nico
INTERNATIONAL JOURNAL OF COMPUTATIONAL MATERIALS SCIENCE AND ENGINEERING, 2022, 11 (03)
[49] Mathematical Model of Fluid Flow and Solute Transport in Converging-diverging Permeable Tubes
Varunkumar, M.
Muthu, P.
Srinivas, S.
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2023, 9 (04): : 900 - 914
[50] Transport of solute in an unsteady electroosmotic flow of Casson fluid through a micro-channel
Debnath, Sudip
Shaw, Sachin
Roy, Ashis Kumar
KOREA-AUSTRALIA RHEOLOGY JOURNAL, 2025,

← 1 2 3 4 5 →