Computational and Analytical Problems in Fluid Mechanics
{'Code': '03040109', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
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This project consists of three subprojects on analytical and               computational methods in fluid mechanics. Professors Krasny,                    Borgers and Harabetian will work in collaboration with each other               as a group. They will attack the following problems:                                 1. Computation of vortex sheet evolution. This project is                  concerned with extending the so-called vortex blob method for                   computing vortex sheet evolution. One planned application is to                 determine the structure of the spiral which forms in a                          periodically perturbed vortex sheet.                                                 2. Fast elliptic solver on locally refined meshes. This                    research will combine domain decomposition methods with the FAC                 algorithm developed by McCormick. These methods will be tested on               Neumann problems for Laplace's equation on regions arising in                   fluid dynamics applications.                                                         3. Numerical and analytical problems for systems of                        conservation laws. Problems with small viscous perturbations,                   with vanishing viscosity method, and with the incompressible                    limit of a contact discontinuity are going to be considered.                         Research performed under this grant will have potential                    applications to studies of aerodynamics and combustion, and will                rely extensively on computational tools related to nonlinear                    partial differential equations.
[{'FirstName': 'Christoph', 'LastName': 'Borgers', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Christoph Borgers', 'EmailAddress': 'christoph.borgers@tufts.edu', 'NSF_ID': '000166947', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Robert', 'LastName': 'Krasny', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Robert Krasny', 'EmailAddress': 'krasny@umich.edu', 'NSF_ID': '000163659', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Eduard', 'LastName': 'Harabetian', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Eduard Harabetian', 'EmailAddress': 'eduard@math.lsa.umich.edu', 'NSF_ID': '000464360', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
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[{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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