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DTSTAMP:20220812T074334Z
LOCATION:Foyer 2nd Floor
DTSTART;TZID=Europe/Stockholm:20220628T090000
DTEND;TZID=Europe/Stockholm:20220628T110000
UID:submissions.pasc-conference.org_PASC22_sess181_pos158@linklings.com
SUMMARY:P35 - A Partially Meshfree Galerkin Scheme for Representing Highly
  Anisotropic Fields
DESCRIPTION:Poster\n\nP35 - A Partially Meshfree Galerkin Scheme for Repre
 senting Highly Anisotropic Fields\n\nMaloney, McMillan\n\nA method for rep
 resenting highly anisotropic fields is presented, based on a partially mes
 hfree Galerkin formulation. A mapping function is used to provide informat
 ion about the local direction of the anisotropy, with one of the global co
 ordinates chosen to parameterize the ‘parallel’ position along the mapping
  in a one-to-one manner. Standard unstructured finite element meshes are u
 sed on planes of constant parallel coordinate to represent the necessary s
 mall-scale variations perpendicular to the mapping direction, with large s
 pacings then possible between these planes because of the small variation 
 along the mapping. This greatly reduces the number of degrees of freedom r
 equired to represent fields in this space and the associated computational
  cost of simulations involving such fields. No mesh connectivity is define
 d between planes, and field aligned basis functions are constructed using 
 the mapping function to extend the standard finite element bases into the 
 full domain. Integration of the basis has been addressed with reference to
  methods developed for fully meshfree methods, and the scheme (as well as 
 other similar element free Galerkin schemes) is shown to be locally conser
 vative under certain conditions. Robust convergence of several test proble
 ms is demonstrated.
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