Improved multispecies Dougherty collisions
The Dougherty model Fokker–Planck operator is extended to describe nonlinear full-$f$ ( f is the distribution function) collisions between multiple species in plasmas. Simple relations for cross-species primitive moments are developed which obey conservation laws, and reproduce familiar velocity and...
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| Veröffentlicht in: | Journal of plasma physics 2022-06, Vol.88 (3), Article 905880303 |
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| container_title | Journal of plasma physics |
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| creator | Francisquez, Manaure Juno, James Hakim, Ammar Hammett, Gregory W. Ernst, Darin R. |
| description | The Dougherty model Fokker–Planck operator is extended to describe nonlinear full-$f$ ( f is the distribution function) collisions between multiple species in plasmas. Simple relations for cross-species primitive moments are developed which obey conservation laws, and reproduce familiar velocity and temperature relaxation rates. This treatment of multispecies Dougherty collisions, valid for arbitrary mass ratios, avoids unphysical temperatures and satisfies the $H$-theorem (H is related to the entropy) unlike an analogous Bhatnagar–Gross–Krook operator. Formulas for both a Cartesian velocity space and a gyroaveraged operator are provided for use in Vlasov as well as long-wavelength gyrokinetic models. We present an algorithm for the discontinuous Galerkin discretization of this operator, and provide results from relaxation and Landau damping benchmarks. |
| doi_str_mv | 10.1017/S0022377822000289 |
| format | Article |
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Simple relations for cross-species primitive moments are developed which obey conservation laws, and reproduce familiar velocity and temperature relaxation rates. This treatment of multispecies Dougherty collisions, valid for arbitrary mass ratios, avoids unphysical temperatures and satisfies the $H$-theorem (H is related to the entropy) unlike an analogous Bhatnagar–Gross–Krook operator. Formulas for both a Cartesian velocity space and a gyroaveraged operator are provided for use in Vlasov as well as long-wavelength gyrokinetic models. 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Plasma Phys</addtitle><date>2022-06-01</date><risdate>2022</risdate><volume>88</volume><issue>3</issue><artnum>905880303</artnum><issn>0022-3778</issn><eissn>1469-7807</eissn><abstract>The Dougherty model Fokker–Planck operator is extended to describe nonlinear full-$f$ ( f is the distribution function) collisions between multiple species in plasmas. Simple relations for cross-species primitive moments are developed which obey conservation laws, and reproduce familiar velocity and temperature relaxation rates. This treatment of multispecies Dougherty collisions, valid for arbitrary mass ratios, avoids unphysical temperatures and satisfies the $H$-theorem (H is related to the entropy) unlike an analogous Bhatnagar–Gross–Krook operator. Formulas for both a Cartesian velocity space and a gyroaveraged operator are provided for use in Vlasov as well as long-wavelength gyrokinetic models. 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| ispartof | Journal of plasma physics, 2022-06, Vol.88 (3), Article 905880303 |
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| language | eng |
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| source | Cambridge Journals Online |
| subjects | Algorithms Benchmarks Cartesian coordinates Collisions Conservation laws Distribution functions Flow velocity Laboratories Landau damping Mass ratios Operators (mathematics) Physics Plasma Plasma physics Plasmas (physics) |
| title | Improved multispecies Dougherty collisions |
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