SolitaryGravityWave swMATH ID: 32079 Software Authors: Clamond, Didier; Dutykh, Denys Description: Fast accurate computation of the fully nonlinear solitary surface gravity waves. We present an easy to implement and fast algorithm for the computation of the steady solitary gravity wave solution of the free surface Euler equations in irrotational motion. First, the problem is reformulated in a fixed domain using the conformal mapping technique. Second, the problem is reduced to a single equation for the free surface. Third, this equation is solved using Petviashvili’s iterations together with pseudo-spectral discretisation. This method has a super-linear complexity, since the most demanding operations can be performed using a FFT algorithm. Moreover, when this algorithm is combined with the multi-precision floating point computations, the results can be obtained to any arbitrary accuracy. Homepage: https://de.mathworks.com/matlabcentral/fileexchange/39189-solitary-water-wave Dependencies: Matlab Related Software: Matlab; advanpix; SSGW Referenced in: 17 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Fast accurate computation of the fully nonlinear solitary surface gravity waves. Zbl 1290.76018Clamond, Didier; Dutykh, Denys 2013 all top 5 Referenced by 25 Authors 6 Dutykh, Denys 4 Clamond, Didier 2 Athanassoulis, Gerassimos A. 2 Duran, Angel 2 Gerbi, Stéphane 2 Lteif, Ralph 2 Mitsotakis, Dimitrios E. 2 Papoutsellis, Ch. E. 1 Charalampopoulos, A. G. 1 Choi, Wooyoung 1 Dinvay, Evgueni 1 Duchêne, Vincent 1 Hanssen, Finn-Christian W. 1 Israwi, Samer 1 Khorbatly, Bashar 1 Le, Uyen 1 Lin, Zhiliang 1 Murashige, Sunao 1 Nilsson, Dag Viktor 1 Papathanasiou, Theodosios K. 1 Pelinovsky, Dmitry Efimovich 1 Shao, Yanlin 1 Tong, Chao 1 Wahlén, Erik 1 Xie, Bin all top 5 Referenced in 13 Serials 5 Wave Motion 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Applied Mathematics and Computation 1 Physica D 1 Applied Mathematics Letters 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Referenced in 6 Fields 13 Fluid mechanics (76-XX) 8 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Functions of a complex variable (30-XX) Referencing Publications by Year