A very efficient <i>O</i>(<i>n</i>), implicit and parallel method to solve the stream power equation governing fluvial incision and landscape evolution

作     者：Braun, Jean Willett, Sean D. 

作者机构：Univ Grenoble 1 Inst Sci Terre F-38041 Grenoble 9 France CNRS F-38041 Grenoble 9 France ETH Dept Earth Sci Zurich Switzerland 

出 版 物：《GEOMORPHOLOGY》 (地貌学)

年 卷 期：2013年第180卷

页      面：170-179页

核心收录：

学科分类：07[理学] 0708[理学-地球物理学] 0705[理学-地理学] 070501[理学-自然地理学] 

基　　金：Canadian Institute for Advanced Studies 

主　　题：Fluvial geomorphology Numerical modeling Stream power equation Routing algorithm Implicit scheme Parallel algorithm 

摘      要：We present a new algorithm to solve the basic stream power equation, which governs channel incision and landscape evolution in many geomorphic settings. The algorithm is highly efficient because computation time increases linearly with the number of points used to discretize the landscape and is ideally suited to parallelization. It is also unconditionally stable because it uses an implicit scheme for the time integration of the landscape evolution equation, which means that large time steps can be used without sacrificing accuracy. In this paper we describe the algorithm and present results that demonstrate its efficiency and accuracy. (C) 2012 Elsevier B.V. All rights reserved.