Abstract

We carried out two series of numerical experiments of rising magnetic flux tubes in compressible stellar interiors. We first studied the axisymmetric rise of magnetic flux tubes. We found that the properties of the rise scale with the magnetic rossby number. This result agrees with the literature, hence we show that our compressible model is able to reproduce thin flux tubes, incompressible, and anelastic results. Moreover by demonstrating the scalability of our model we show that it is possible to simulate the rise of compressible magnetic flux tubes. Which, due to numerical limitations, is not trivial. The second series is a non-axisymmetric study. We show that the properties of the rise of a magnetic flux tube scale in a different manner in 2D and 3D. From a large parameter study, we derived a general scaling parameter valid in both geometries unifying both previous results. From these general scaling law we were able to relate the relative rising time to the regime of the rise of the magnetic flux tube. Finally we suggest to apply this universal relation in a delayed Babcock-Leighton dynamo model.