Estimates of surface normal and curvature, reconstruction of continuum surface force model, and elimination of spurious currents. (28th February 2014)
- Record Type:
- Journal Article
- Title:
- Estimates of surface normal and curvature, reconstruction of continuum surface force model, and elimination of spurious currents. (28th February 2014)
- Main Title:
- Estimates of surface normal and curvature, reconstruction of continuum surface force model, and elimination of spurious currents
- Authors:
- Wang, Chunbai
Mitra, Ambar K. - Abstract:
- <abstract abstract-type="main" id="fld3896-abs-0001"> <title>SUMMARY</title> <p id="fld3896-para-0001">A reconstructed continuum surface force (CSF) model is presented for the volume‐of‐fluid (VOF) method in numerical simulations of surface tension‐driven flow. The gradient of VOF function yielded by the one‐direction difference (ODD) algorithm has second‐order accuracy in one direction and exhibits unit pulse function in the other direction. Use of our ODD algorithm for surface normal and curvature improves the accuracy of surface tension force estimate and meets the necessary condition of a circular droplet free of spurious currents. The immersed length, a physical depth of grid cell center introduced in this paper, is computed from VOF function and surface orientation. It is chosen instead of VOF function as weight parameters in the evaluations of density and volumetric surface tension force between interfacial grid cells. Grid cells and control cells are classified into interfacial, sublayer, and interior cells according to their distances to interface. Surface tension is thus constructed within interfacial or sublayer cells. The numerical approach is modified so that flow pressure solutions are sought only at those immersed grid cell centers. The transitional region from one fluid to the other is compressed. Spurious currents by no means grow on free surface in the numerical simulations using our algorithms and reconstructed CSF model. The simulation results agree with<abstract abstract-type="main" id="fld3896-abs-0001"> <title>SUMMARY</title> <p id="fld3896-para-0001">A reconstructed continuum surface force (CSF) model is presented for the volume‐of‐fluid (VOF) method in numerical simulations of surface tension‐driven flow. The gradient of VOF function yielded by the one‐direction difference (ODD) algorithm has second‐order accuracy in one direction and exhibits unit pulse function in the other direction. Use of our ODD algorithm for surface normal and curvature improves the accuracy of surface tension force estimate and meets the necessary condition of a circular droplet free of spurious currents. The immersed length, a physical depth of grid cell center introduced in this paper, is computed from VOF function and surface orientation. It is chosen instead of VOF function as weight parameters in the evaluations of density and volumetric surface tension force between interfacial grid cells. Grid cells and control cells are classified into interfacial, sublayer, and interior cells according to their distances to interface. Surface tension is thus constructed within interfacial or sublayer cells. The numerical approach is modified so that flow pressure solutions are sought only at those immersed grid cell centers. The transitional region from one fluid to the other is compressed. Spurious currents by no means grow on free surface in the numerical simulations using our algorithms and reconstructed CSF model. The simulation results agree with the Laplace pressure jump across a static circular free surface or experimental observations. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract> … (more)
- Is Part Of:
- International journal for numerical methods in fluids. Volume 75:Number 5(2014:Jun.)
- Journal:
- International journal for numerical methods in fluids
- Issue:
- Volume 75:Number 5(2014:Jun.)
- Issue Display:
- Volume 75, Issue 5 (2014)
- Year:
- 2014
- Volume:
- 75
- Issue:
- 5
- Issue Sort Value:
- 2014-0075-0005-0000
- Page Start:
- 313
- Page End:
- 343
- Publication Date:
- 2014-02-28
- Subjects:
- Fluid dynamics -- Mathematics -- Periodicals
532 - Journal URLs:
- http://onlinelibrary.wiley.com/ ↗
- DOI:
- 10.1002/fld.3896 ↗
- Languages:
- English
- ISSNs:
- 0271-2091
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 4542.406000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 4237.xml