Inductively Heated Incompressible Flow of Electrically Conductive Liquid in Pipe

A novel computer model of inductively heated incompressible flow of electrically conductive liquid in a pipe is presented. The numerical solution of this multiply coupled problem is realized by a higher-order finite element method using the code Hermes2D developed and written by the authors. The algorithm contains a number of original features such as hanging nodes of any order or in time adaptively changing mutually independent meshes for the computation of particular time-dependent field quantities. The methodology is illustrated by a typical example whose results are discussed.