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Main Authors: Wilhelm, Rostislav-Paul, Eifert, Jan, Torrilhon, Manuel
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2404.18549
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author Wilhelm, Rostislav-Paul
Eifert, Jan
Torrilhon, Manuel
author_facet Wilhelm, Rostislav-Paul
Eifert, Jan
Torrilhon, Manuel
contents The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas dynamics one is required to solve the Vlasov equation for several species which, however, comes with a number of challenges as high dimensionality of the model as well as turbulence and development of fine but relevant structures in the distribution function. The predominantly employed Particle-in-Cell (PIC) method often lacks the accuracy to resolve the dynamics correctly, which can only be remedied by going to higher resolutions but at a prohibitorily high cost due to the high-dimensionality. Thus in this work we discuss the usage of the Numerical Flow Iteration (NuFI) as high fidelity approach, in contrast to e.g. PIC or grid-based approaches, to solve the multi-species Vlasov equation in modes leading to kinetic instabilities.
format Preprint
id arxiv_https___arxiv_org_abs_2404_18549
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle High Fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit
Wilhelm, Rostislav-Paul
Eifert, Jan
Torrilhon, Manuel
Plasma Physics
The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas dynamics one is required to solve the Vlasov equation for several species which, however, comes with a number of challenges as high dimensionality of the model as well as turbulence and development of fine but relevant structures in the distribution function. The predominantly employed Particle-in-Cell (PIC) method often lacks the accuracy to resolve the dynamics correctly, which can only be remedied by going to higher resolutions but at a prohibitorily high cost due to the high-dimensionality. Thus in this work we discuss the usage of the Numerical Flow Iteration (NuFI) as high fidelity approach, in contrast to e.g. PIC or grid-based approaches, to solve the multi-species Vlasov equation in modes leading to kinetic instabilities.
title High Fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit
topic Plasma Physics
url https://arxiv.org/abs/2404.18549