CAFE-Q: Code Designed to Solve the Resistive MHD Equations With Thermal Conductivity

We present a new code designed to solve the equations of classical magnetohydrodynamics in 3-D under the effects of magnetic resistivity and heat transfer. The purpose of the code centers on the analysis of solar phenomena within the photosphere-corona region and the study of the propagation of coronal mass ejections in the interplanetary medium. We present 1-D and 2-D standard tests to demonstrate the quality of the numerical results obtained with our code. As a new code test, we include a system directly related to solar physics: the formation of a jet triggered by magnetic reconnection. The program uses high-resolution shock-capturing methods, using HLLE, HLLC, and HLLD flux formulas combined with MINMOD, MC, and reconstructors. The divergence-free magnetic field constraint is controlled using the extended generalized Lagrange multipliers method and flux-constrained transport (Flux-CT) method. Concerning the accuracy of the numerical results, we present three important cases: first, for the self-similar current sheet test, the error with respect to the exact solution is 0.13%; second, about the violation of the divergence-free magnetic field constraint, we use the blast wave test and show the constraint is of order 10
^-11
; and third, related to the magnetic field reconnection, the code reproduces the predicted reconnection rate for the Sweet-Parker model.