Department of Mathematics
 Search | Help | Login

Math @ Duke





.......................

.......................


Publications [#383776] of Guglielmo Scovazzi

Papers Published

  1. Bazilevs, Y; Akkerman, I; Benson, DJ; Scovazzi, G; Shashkov, MJ, Isogeometric analysis of Lagrangian hydrodynamics, Journal of Computational Physics, vol. 243 (June, 2013), pp. 224-243 [doi]
    (last updated on 2026/01/19)

    Abstract:
    Isogeometric analysis of Lagrangian shock hydrodynamics is proposed. The Euler equations of compressible hydrodynamics in the weak form are discretized using Non-Uniform Rational B-Splines (NURBS) in space. The discretization has all the advantages of a higher-order method, with the additional benefits of exact symmetry preservation and better per-degree-of-freedom accuracy. An explicit, second-order accurate time integration procedure, which conserves total energy, is developed and employed to advance the equations in time. The performance of the method is examined on a set of standard 2D and 3D benchmark examples, where good quality of the computational results is attained. © 2013 Elsevier Inc.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320


x