Orthogonal and conformal mapping with application to MHD equilibrium and stability calculations
DOI10.1080/00411458708204669zbMath0646.76122OpenAlexW2149471965MaRDI QIDQ3790886
P. H. Sakanaka, J. P. Goedbloed
Publication date: 1987
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00411458708204669
equilibriumconformal mapping methodstability problemGrad-Shafranov equationtokamak configurationMHD confinement geometriesplasma cross-sectiontypes of microscopic instabilities
Conformal mappings of special domains (30C20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Basic methods in fluid mechanics (76M99)
Cites Work
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- Methods for numerical conformal mapping
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- On the numerical generation of boundary-fitted orthogonal curvilinear coordinate systems
- Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
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- The calculation of turbulent recirculating flows in general orthogonal coordinates
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- An integral equation method in conformal mapping
- Fast Fourier Methods in Computational Complex Analysis
- An energy principle for hydromagnetic stability problems
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- Variational moment solutions to the Grad–Shafranov equation
- Free-boundary high-beta tokamaks. II. Mathematical intermezzo: Hilbert transforms and conformal mapping
- Numerical Experiments on Solving Theodorsen’s Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods
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