TY - JOUR
T1 - Asymptotical computations for a model of flow in saturated porous media
AU - Amodio, P.
AU - Budd, C. J.
AU - Koch, O.
AU - Settanni, G.
AU - Weinmüller, E.
PY - 2014/6/15
Y1 - 2014/6/15
N2 - We discuss an initial value problem for an implicit second order ordinary differential equation which arises in models of flow in saturated porous media such as concrete. Depending on the initial condition, the solution features a sharp interface with derivatives which become numerically unbounded. By using an integrator based on finite difference methods and equipped with adaptive step size selection, it is possible to compute the solution on highly irregular meshes. In this way it is possible to verify and predict asymptotical theory near the interface with remarkable accuracy.
AB - We discuss an initial value problem for an implicit second order ordinary differential equation which arises in models of flow in saturated porous media such as concrete. Depending on the initial condition, the solution features a sharp interface with derivatives which become numerically unbounded. By using an integrator based on finite difference methods and equipped with adaptive step size selection, it is possible to compute the solution on highly irregular meshes. In this way it is possible to verify and predict asymptotical theory near the interface with remarkable accuracy.
UR - http://www.scopus.com/inward/record.url?scp=84899024632&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.amc.2014.03.063
U2 - 10.1016/j.amc.2014.03.063
DO - 10.1016/j.amc.2014.03.063
M3 - Article
AN - SCOPUS:84899024632
SN - 0096-3003
VL - 237
SP - 155
EP - 167
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -