| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000389419 |
| ISSN: | 0103-9733 |
| Authors: | Ojeda González, A1 Domingues, M.O2 Mendes, O2 Kaibara, M.K3 Prestes, A1 |
| Institutions: | 1Universidade do Vale do Paraiba, Laboratorio de Fisica e Astronomia, Sao Jose dos Campos, Sao Paulo. Brasil 2Instituto Nacional de Pesquisas Espaciais, Sao Jose dos Campos, Sao Paulo. Brasil 3Universidade Federal Fluminense, Niteroi, Rio de Janeiro. Brasil |
| Year: | 2015 |
| Season: | Oct |
| Volumen: | 45 |
| Number: | 5 |
| Pages: | 493-509 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | The Grad-Shafranov equation is a Poisson’s equation, i.e., a partial differential equation of elliptic type. The problem is depending on the initial condition and can be treated as a Cauchy problem. Although it is ill-posed or ill-conditioned, it can be integrated numerically. In the integration of the GS equation, singularities with large values of the potential arise after a certain number of integration steps away from the original data line, and a filter should be used. The Grad-Shafranov reconstruction (GSR) technique was developed from 1996 to 2000 for recovering two-dimensional structures in the magnetopause in an ideal MHD formulation. Other works have used the GSR techniques to study magnetic flux ropes in the solar wind and in the magnetotail from a single spacecraft dataset; posteriorly, it was extended to treat measurements from multiple satellites. From Vlasov equation, it is possible to arrive at the GS-equation in function of the normalized vector potential. A general solution is obtained using complex variable theory. A specific solution was chosen as benchmark case to solve numerically the GS equation. We propose some changes in the resolution scheme of the GS equation to improve the solution. The result of each method is compared with the solution proposed by Hau and Sonnerup (J. Geophys. Res. 104(A4), 6899–6917 (1999)). The main improvement found in the GS resolution was the need to filter B x values at each y value |
| Disciplines: | Física y astronomía, Matemáticas |
| Keyword: | Teoría cinética y plasmas, Matemáticas aplicadas, Plasmas espaciales, Cuerdas de flujo magnético, Problema de Cauchy, Ecuación de Grad-Shafranov |
| Keyword: | Physics and astronomy, Mathematics, Kinetic theory and plasma, Applied mathematics, Space plasmas, Cauchy problem, Magnetic flux-ropes, Grad-Shafranov equation |
| Full text: | Texto completo (Ver HTML) |
