A Supernodal Approach to Sparse Partial Pivoting
SIAM Journal on Matrix Analysis and Applications
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
SIAM Journal on Matrix Analysis and Applications
MA57---a code for the solution of sparse symmetric definite and indefinite systems
ACM Transactions on Mathematical Software (TOMS)
Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
Computers & Mathematics with Applications
2011 TAU power grid simulation contest: benchmark suite and results
Proceedings of the International Conference on Computer-Aided Design
River cross-section extraction from the ASTER global DEM for flood modeling
Environmental Modelling & Software
Dynamic river network simulation at large scale
Proceedings of the 49th Annual Design Automation Conference
TETA: transistor-level waveform evaluation for timing analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Integrated modeling within a Hydrologic Information System: An OpenMI based approach
Environmental Modelling & Software
Strategies for integrated modeling: The community surface dynamics modeling system example
Environmental Modelling & Software
Short communication: Challenges in Continental River Dynamics
Environmental Modelling & Software
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This paper describes the Simulation Program for River Networks (SPRINT) that is proposed as a tool for studying Continental River Dynamics (CRD), the solution of physics-based equations for large-scale river networks. Existing coupled hydrologic/hydraulic models have been unable to solve the full Saint-Venant equations for river networks larger than O(10^3) elements, but continental scales require 10^6-10^7 elements. The new model solves the full nonlinear Saint-Venant equations for one-dimensional (1D) unsteady flow and stage height in river channel networks with non-uniform bathymetry, and is demonstrated to compute networks of O(10^5) elements more than 330 times faster than real time on a desktop computer. The model incorporates ideas that were originally developed to address Very Large System Integration (VLSI) problems in microprocessor design, where solving large nonlinear computational problems is a common challenge. Computational speed is increased by applying Jacobian bypass techniques in a Newton-Raphson solution and smoothing the geometric depth-area and friction-area relationships where discontinuities otherwise slow convergence. Pre-processing of junction relationships is used to remove temporal nonlinearities where river tributaries meet. Model input/output are simplified and made readily accessible to other software through use of Application Programming Interface (API) standards and a ''netlist'' idea that was previously used to describe electric circuit topology. The model is tested on both simple and complex geometry through comparisons with the HEC-RAS model. A example simulation is conducted for 1.5 x 10^4 river km of the Guadalupe and San Antonio river network during a 14 day rain event.