| EPSRC Reference: |
GR/R78725/01 |
| Title: |
Implicit Methods for Dissipative Particle Dynamics |
| Principal Investigator: |
Shardlow, Dr T |
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| Department: |
Mathematics |
| Organisation: |
University of Manchester, The |
| Scheme: |
Fast Stream |
| Starts: |
07 April 2003 |
Ends: |
06 April 2006 |
Value (£): |
59,996
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The subject of the proposed research is stochastic differential equations that arise in particle methods. The most well known example is the Langevin equation, which is used to simulate a system of particles that interact according to some potential at constant temperature. It is an example of a thermostat. Theory for Langevin equations is well established. The proposed research will focus on a newer particle model, known as Dissipative Particle Dynamics (DPD), which has been written down as a mesoscopic model of polymers and is being used to simulate multi-phase flows. The equations are designed with a simple potential to be very computationally convenient. The proposed research will develop new numerical methods for DPD by exploiting implicit methods already known to work well in the Langevin setting. The research will involve considerable computations in establishing the quality of different methods, and will try to back up its findings by analysis. Possible roads for the analysis include extending recent work for stability of numerical methods for the Langevin system by Skeel and co-workers or investigating a backward error analysis. A successful backward error analysis would be novel in the Langevin framework, too. Other issues that are outstanding for DPD are a comparison to other thermostatting methods such as the Nose-Hoover thermostat and a study of the effect of boundary conditions on the use of numerical methods for DPD.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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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 |
| Summary |
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| Date Materialised |
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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.man.ac.uk |