TY - JOUR
T1 - Time adaptivity in the diffusive wave approximation to the shallow water equations
AU - Collier, Nathan
AU - Radwan, Hany
AU - Dalcín, Lisandro D.
AU - Calo, Victor M.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013/5
Y1 - 2013/5
N2 - We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation. © 2011 Elsevier B.V.
AB - We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation. © 2011 Elsevier B.V.
UR - http://hdl.handle.net/10754/562740
UR - https://linkinghub.elsevier.com/retrieve/pii/S1877750311000664
UR - http://www.scopus.com/inward/record.url?scp=84875829752&partnerID=8YFLogxK
U2 - 10.1016/j.jocs.2011.07.004
DO - 10.1016/j.jocs.2011.07.004
M3 - Article
SN - 1877-7503
VL - 4
SP - 152
EP - 156
JO - Journal of Computational Science
JF - Journal of Computational Science
IS - 3
ER -