Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
Walters, Keith D.
Committee Member
Burgreen, W. Greg
Committee Member
Mago, Pedro
Date of Degree
8-8-2009
Document Type
Graduate Thesis - Open Access
Major
Mechanical Engineering
Degree Name
Master of Science
College
James Worth Bagley College of Engineering
Department
Department of Mechanical Engineering
Abstract
A new high-resolution spatial discretization scheme is presented for use within the volume-ofluid (VOF) method. This scheme is an adaptation of the previously published boundary gradient maximization (BGM) scheme, with an extension for time-dependent solutions. The scheme does not explicitly reconstruct the interface, but rather resolves the values of the volume fraction in the area of the interface. The scheme is upwind biased to provide numerical stability, and the face values are limited to meet boundedness criteria and prevent variable overshoot. Unlike most other high-resolution schemes found in the literature, the proposed scheme does not use upwind-biased and downwind-biased “switching” to maintain stability. This thesis presents a number of test cases including 2-D and 3-D cases on both structured and unstructured grids. The results display the method’s ability to predict good shape of the volume fraction interface and resolve the volume fraction discontinuity.
URI
https://hdl.handle.net/11668/15502
Recommended Citation
Witbeck, Brandon Wesley, "Investigation of discretization methods for the volume fraction equation in two-phase flows" (2009). Theses and Dissertations. 2837.
https://scholarsjunction.msstate.edu/td/2837
Comments
Multi-phase||Interface Capturing||Discretizaton