SHASTA swMATH ID: 18281 Software Authors: Jay P Boris, David L Book Description: Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works. This paper describes a class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction.” These flux-corrected transport algorithms are of indeterminate order but yield realistic, accurate results. In addition to the mass-conserving property of most conventional algorithms, the FCT algorithms strictly maintain the positivity of actual mass densities so steep gradients and inviscid shocks are handled particularly well. This first paper concentrates on a simple one-dimensional version of FCT utilizing SHASTA, a new transport algorithm for the continuity equation, which is described in detail. Homepage: http://www.sciencedirect.com/science/article/pii/0021999173901472 Related Software: HE-E1GODF; HLLE; ReALE; Vador; MOOD; KRAKEN; FEniCS; CMPGRD; GitHub; deal.ii; GFORCE; SLIC; Anderson; REMAP3D; chammp; ZEUS; FEATFLOW; RIEMANN; FINESS; RODAS Cited in: 260 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0939.76074Boris, Jay P.; Book, David L. 1997 Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004Boris, Jay P.; Book, David L. 1973 all top 5 Cited by 461 Authors 18 Kuzmin, Dmitri 11 Guermond, Jean-Luc 8 Popov, Boyan 6 De Luna, Manuel Quezada 5 Banks, Jeffrey W. 5 Barrenechea, Gabriel R. 5 Knobloch, Petr 5 Tomas, Ignacio 5 Xiao, Feng 4 Breuß, Michael 4 Jameson, Antony 4 John, Volker 4 Kolobov, Andrey V. 4 Kuznetsov, Maxim B. 4 Liska, Richard 4 Lohmann, Christoph 4 Xu, Zhengfu 3 Book, David L. 3 Boris, Jay P. 3 Farhat, Charbel H. 3 Font, José A. 3 Henshaw, William D. 3 Nazarov, Murtazo 3 Qiu, Jingmei 3 Rider, William J. 3 Seal, David C. 3 Shadid, John N. 3 Shashkov, Mikhail J. 3 Sheu, Tony Wen-Hann 3 Turek, Stefan 3 Váchal, Pavel 3 Weickert, Joachim 3 Xu, Kun 3 Zeng, Xianyi 2 Anderson, Robert W. G. 2 Bidadi, Shreyas 2 Christlieb, Andrew J. 2 Crouseilles, Nicolas 2 De Vuyst, Florian 2 Deng, Xi 2 Dobrev, Veselin A. 2 Dubey, Ritesh Kumar 2 Jasinski, Janusz 2 Kadalbajoo, Mohan K. 2 Kaplan, Carolyn R. 2 Kees, Christopher E. 2 Ketcheson, David I. 2 Kivva, Sergii 2 Kolev, Tzanio V. 2 Kuchařík, Milan 2 Kumar, Ritesh 2 Liu, Jianguo 2 Liu, Yingjie 2 Loubère, Raphaël 2 Lowrie, Robert B. 2 Lyra, Paulo Roberto Maciel 2 Maier, Matthias Sebastian 2 Margolin, Len G. 2 Mehrenberger, Michel 2 Möller, Matthias 2 Oñate Ibáñez de Navarra, Eugenio 2 Oran, Elaine S. 2 Ortiz, Pablo 2 Osher, Stanley Joel 2 Pietrek, Slawomir 2 Rani, Sarma L. 2 Rankin, Richard 2 Ringler, Todd D. 2 Scovazzi, Guglielmo 2 Segur, Pierre 2 Shokin, Yuriĭ Ivanovich 2 Sonnendrücker, Eric 2 Steiner, Christophe 2 Tang, Lei 2 Tang, Qi 2 Tolstykh, Andrei I. 2 Tomov, Vladimir Z. 2 van Leer, Bram 2 Velechovsky, Jan 2 Wang, Hong 2 Welk, Martin 2 Wendroff, Burton 2 Winnicki, Ireneusz 2 Xiong, Tao 2 Zeng, Rong 2 Zhuang, Chijie 1 Adams, Nikolaus A. 1 Afeyan, B. B. 1 Ahmad, Kamarul Arifin 1 Al-Lawatia, Mohamed 1 Alhumaizi, Khalid 1 Allendes, Alejandro 1 Alves, Leonardo Frota 1 Angel, Jordan B. 1 Appadu, A. R. 1 Arber, T. D. 1 Argyropoulos, C. D. 1 Arnau, F. J. 1 Aslam, Tariq D. 1 Aszklar, Paweł ...and 361 more Authors all top 5 Cited in 53 Serials 96 Journal of Computational Physics 27 Computer Methods in Applied Mechanics and Engineering 14 Computers and Fluids 13 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 7 Computers & Mathematics with Applications 7 Mathematics of Computation 7 Journal of Computational and Applied Mathematics 6 Applied Mathematical Modelling 5 Communications in Computational Physics 4 Computer Physics Communications 4 Applied Mathematics and Computation 4 Applied Numerical Mathematics 4 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Computational Mathematics and Mathematical Physics 3 Living Reviews in Relativity 2 Acta Mechanica 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Computational Mechanics 2 Journal of Mathematical Imaging and Vision 2 International Journal of Computer Vision 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 European Journal of Mechanics. 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Mathematical Models & Methods in Applied Sciences 1 Advances in Computational Mathematics 1 International Journal of Computational Fluid Dynamics 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Applied Mechanics and Technical Physics 1 Computational Geosciences 1 Combustion Theory and Modelling 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 International Journal of Computational Methods 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Algorithms 1 Arabian Journal for Science and Engineering 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Theoretical Biology 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 21 Fields 163 Fluid mechanics (76-XX) 147 Numerical analysis (65-XX) 79 Partial differential equations (35-XX) 12 Geophysics (86-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Information and communication theory, circuits (94-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year