| EPSRC Reference: |
GR/K58166/01 |
| Title: |
SETTLING OF SPHERICAL PARTICLES IN VISCOELASTIC FLUIDS USING A MOVING SPECTRAL ELEMENT METHOD |
| Principal Investigator: |
Phillips, Professor TN |
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| Department: |
Inst of Mathematical and Physical Sci |
| Organisation: |
Aberystwyth University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 1996 |
Ends: |
31 December 1997 |
Value (£): |
91,341
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Summary on Grant Application Form |
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A moving spectral element method is developed for the numerical simulation of time-dependent viscoelastic flow around a sphere falling along the axis of a cylinder. A fully coupled implicit algorithm is used for the temperal discretization. A spectral element mesh, part of which moves with the sphere, is used. Pseudospectral approximations are used for each dependent variable in each spectral element.A weak formulation of the equations generates a system of nonlinear algebraic equations which can be written as an implicit system for the stresses. Newton's method is used to solve this system. The Jacobian is approximated using finite difference and the stress update is determined using the GMRES algorithm. Efficient preconditioners are constructed for this iterative method. The algorithm is validated for an Oldroyd B fluid. Boger fluids are simulated using the Chilcott-Rallison model and comparisons are made with experiments. The dependence of the drag on the sphere on viscoelasticity and on the ratio of sphere to tube radius is studied.
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.aber.ac.uk |