Results
Title

Efficient pseudo-spectral solvers for the PKN model of hydrofracturing.

Authors

Wrobel, Michal; Mishuris, Gennady

Abstract

In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate significant cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various fluid flow regimes are considered.

Subjects

SPECTRAL theory; MATHEMATICAL models; ALGORITHMS; DERIVATIVES (Mathematics); MESHFREE methods; FLUID flow; ACCURACY

Publication

International Journal of Fracture, 2013, Vol 184, Issue 1/2, p151

ISSN

0376-9429

Publication type

Academic Journal

DOI

10.1007/s10704-013-9847-y