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UID:submissions.pasc-conference.org_PASC24_sess158_pos146@linklings.com
SUMMARY:P37 - Parallel Implementation of Mesh-Free Operators for 2D and 3D
  PDEs on a Sphere for Atmospheric Dynamics
DESCRIPTION:Poster\n\nLakshmi Aparna Devulapalli (Università della Svizzer
 a italiana) and William Barton Sawyer (ETH Zurich / CSCS)\n\nThis project 
 explores a mesh-free method for the approximations of Numerical Operators 
 for 2D and 3D partial differential equations used in atmospheric dynamics.
  Compactly Supported Radial Basis Functions were chosen as the category of
  Mesh Free method for discretization. The primary objective of this projec
 t is to formulate a highly parallel algorithm. The secondary objective is 
 to test the capabilities of a framework of powerful libraries such as Atla
 s/Atlas4Py which is developed by ECMWF; BLAS and SuperLU. The uniqueness i
 n the project stems from having a singular focus on achieving a computatio
 nally intensive problem statement. The ultimate objective is to create a c
 hallenge that demands the immense computational power of high-performance 
 computer architecture, enabling rapid and efficient execution of complex c
 omputations. The performance of the python implementation is tested using 
 standard test cases provided by David J. Williamson and et al. for Numeric
 al Approximations of Shallow Water Equation (SWE) on a spherical geometry.
  In conclusion, this project aims to provide a package of powerful tools c
 apable to solve 2D and 3D PDEs related to atmospheric dynamics such as the
  shallow water equations, the hydrostatic primitive equations, and the non
 -hydrostatic fully-compressible Euler equations using mesh-free operators.
 \n\nSession Chair: Iva Kavcic (Met Office)
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