Title
A first order projection-based time-splitting scheme for computing chemically reacting flows
Abstract
Summary.   The simulation of chemically reacting flows is a basic tool in natural sciences as well as engineering sciences to understand and predict complex flow phenomena (e.g., concentrations of salt in oceans or crystal growth in semiconductor industries, see e.g. [7, 19]). The objective of this paper is two-fold: First, a first-order time-splitting scheme is presented that allows for efficient parallelization of the related quantities in each time-step. This scheme is based on the decoupled computation of the new velocity-field and pressure iterates by means of Chorin's projection method. Second, a thorough analysis of this scheme is given that leads to optimal error statements which apply to general flow situations.
Year
DOI
Venue
2000
10.1007/s002110050013
Numerische Mathematik
Keywords
Field
DocType
projection method,velocity field,first order,crystal growth,natural science
Mathematical analysis,Fluid mechanics,Projection method,Initial value problem,Incompressible flow,Partial differential equation,Iterated function,Mathematics,Gronwall's inequality,Computation
Journal
Volume
Issue
ISSN
84
4
0029-599X
Citations 
PageRank 
References 
2
0.58
0
Authors
1
Name
Order
Citations
PageRank
Andreas Prohl130267.29