Paper Info
Title
ALADINS: An ALgebraic splitting time ADaptive solver for the Incompressible Navier-Stokes equations.
Abstract
We address a time-adaptive solver specifically devised for the incompressible Navier-Stokes (INS) equations. One of the challenging issues in this context is the identification of a reliable a posteriori error estimator. Typical strategies are based on the combination of the solutions computed either with two different time steps or two schemes with different accuracy. In this paper, we move from the pressure correction algebraic factorizations formerly proposed by Saleri, Veneziani (2005). These schemes feature an intrinsic hierarchical nature, such that an accurate solution for the pressure is obtained by computing intermediate low-order guesses. The difference between the two estimates provide a natural a posteriori estimator. After introducing the incremental formulation of the pressure correction schemes, we address the properties of this approach, including extensive implementation details. Numerical results presented refer to 2D and 3D unstructured problems, with a particular emphasis on cardiovascular problems, which are expected to largely benefit from time-adaptive solvers. In memory of F. Saleri (1965-2007).
Year
DOI
Venue
2013
10.1016/j.jcp.2012.11.049
J. Comput. Physics
Keywords
Field
DocType
algebraic splitting time adaptive,f. saleri,pressure correction algebraic,posteriori estimator,pressure correction scheme,incompressible navier-stokes equation,different accuracy,different time step,posteriori error estimator,time-adaptive solver,time-adaptive solvers,accurate solution
Compressibility,Mathematical optimization,Algebraic number,Cardiovascular problems,A priori and a posteriori,Solver,Mathematics,Pressure-correction method,Estimator,Navier–Stokes equations
Journal
Volume
ISSN
Citations 
238
0021-9991
1
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Alessandro Veneziani113121.79
Umberto Villa2306.64