Enhancement of the accuracy of numerical field computation using an adaptive three-dimensional remeshing scheme

摘要

We present an improved adaptive remeshing strategy based on the unit remeshing concept to control the accuracy of the numerical solution of partial differential problems. Such an adaptive remeshing is applied in computing and in representing the strong variation of the physical fields in the space of solutions. We show that, the precision of the solution being controlled, this improved scheme permits to decrease drastically the computational time as well as the memory requirements by adapting the number and the position of nodes where high variations of gradients of the solution are present.