Erratum for “Free Surface Flow Computations by Characteristics”

Free surface computations in mantle convection models

Geodynamic simulations increasingly rely on simulations with a true free surface to investigate questions of dynamic topography, tectonic deformation, gravity perturbations, and global mantle convection. However, implementations of free surface boundary conditions have proven challenging from a standpoint of accuracy, robustness, and stability. In particular, free surfaces tend to suffer from s...

BEM Computations of 3D Fully Nonlinear Free Surface Flows Caused by Advancing Surface Disturbances

We report on our recent development and validation of a new numerical model for fully nonlinear free surface waves generated by an advancing free surface disturbance. This model is based on potential flow theory with fully nonlinear free surface boundary conditions, which we solve in the time domain using a three-dimensional (3D) higher-order Boundary Element Method (HOBEM) combined with a seco...

Incompressible laminar flow computations by an upwind least-squares meshless method

In this paper, the laminar incompressible flow equations are solved by an upwind least-squares meshless method. Due to the difficulties in generating quality meshes, particularly in complex geometries, a meshless method is increasingly used as a new numerical tool. The meshless methods only use clouds of nodes to influence the domain of every node. Thus, they do not require the nodes to be conn...

Numerical Flood Simulation by Depth Averaged Free Surface Flow Models

Length Functions for Flow Computations

We introduce a new approach to the maximum ow problem. This approach is based on assigning arc lengths based on the residual ow value and the residual arc capacities. Our approach leads to an O(min(n 2=3 ; m 1=2)m log(n 2 m) log U) time bound for a network with n vertices, m arcs, and integral arc capacities in the range 1; : : : ; U]. This is a fundamental improvement over the previous time bo...