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Gyrokinetic Landau collision operator in conservative form
Qingjiang Pan1, Darin R Ernst1
1Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review. E
|April 3, 2019
Summary
A new gyrokinetic Landau collision operator is derived, preserving symmetry and conservation laws for plasma physics simulations. This exact formulation improves numerical stability and accuracy in turbulence codes.
Area of Science:
- Plasma Physics
- Computational Physics
- Fluid Dynamics
Background:
- Gyrokinetic theory is essential for simulating turbulent plasmas.
- Accurate collision operators are crucial for realistic simulations.
- Existing model operators may lack exact conservation properties.
Purpose of the Study:
- Derive an exact, symmetric, and conservative gyrokinetic Landau collision operator.
- Analyze finite Larmor radius effects in the new operator.
- Enable improved numerical implementation in gyrokinetic codes.
Main Methods:
- Transforming the symmetric and conservative Landau form.
- Obtaining velocity-space flux density.
- Evaluating finite Larmor radius effects using Bessel function series or gyrophase integrals.
Main Results:
- The derived operator explicitly preserves symmetry between test-particle and field-particle contributions.
- Finite Larmor radius corrections involve Bessel functions of all orders, unlike model operators.
- The formulation supports discretization methods that preserve conservation properties.
Conclusions:
- The new gyrokinetic exact linearized Landau operator offers improved accuracy and numerical stability.
- It provides a basis for direct comparison with existing model operators in turbulence codes.
- This work advances the development of reliable plasma simulation tools.
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