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DTSTART:19700308T020000
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DTSTART;TZID=Europe/Stockholm:20190613T195000
DTEND;TZID=Europe/Stockholm:20190613T215000
UID:submissions.pasc-conference.org_PASC19_sess179_post112@linklings.com
SUMMARY:PHY05 - Modeling Scalar Advection Using the Particle-in Cell Metho
 d with Deformable Kernels
DESCRIPTION:Poster\n\n\nPHY05 - Modeling Scalar Advection Using the Partic
 le-in Cell Method with Deformable Kernels\n\nSamuel\n\nThe particle-in-cel
 l (PIC) method is commonly used in various contexts to model pure advectio
 n of sharply varying fields. Standard PIC approaches rely on the use of pa
 rticle kernels to transfer the information carried by the Lagrangian parti
 cles to/from the Eulerian grid. These kernels are generally 1D and non-evo
 lutive, which leads to the development of under- and oversampling of the s
 patial domain by the particles. This reduces the accuracy of the solution,
  and may require the use of a prohibitive number of particles in order to 
 maintain the solution accuracy to an acceptable level. I will present a ne
 w approach, which relies on the use of deformable kernels accounting for t
 he strain history in the vicinity of particles. It results in a significan
 t improvement of the spatial sampling by the particles, leading to a much 
 higher accuracy of the numerical solution, for a reasonable computational 
 extra cost. I will show various 2D tests comparing the performances of the
  Deformable PIC (DPIC) method with the PIC approach. These show that at co
 mparable accuracy, the DPIC method is 4-6 times more efficient than standa
 rd PIC approaches. The method could be adapted to 3D space and combined wi
 th cases including motionless transport.
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