RIPPLE swMATH ID: 30642 Software Authors: Kothe DB, Mjolness RC, Torrey MD Description: RIPPLE: A Computer Program for Incompressible Flows with Free Surfaces. We present the RIPPLE computer program* for modeling transient, two-dimensional, incompressible fluid flows with surface tension on free surfaces of general topology. Finite difference solutions to the incompressible Navier-Stokes equations are obtained on an Eulerian, rectilinear mesh in Cartesian or cylindrical geometries. Free surfaces are represented with volume-of-fluid (VOF) data on the mesh. Surface tension is modeled as a volume force derived from the continuum surface force ( CSF) model. A two-step projection method is used for the incompressible fluid flow solutions, aided by an incomplete Cholesky conjugate gradient (ICCG) solution technique for the pressure Poisson equation (PPE). Momentum advection is estimated with the weakly monotonic, second order upwind method of van Leer. Flow obstacles and curved boundaries interior to the mesh are represented with a partial cell treatment. The improvements and enhancements of RIPPLE relative to its predecessor, NASA-VOF2D, have resulted in a versatile tool capable of modeling a wide range of applications, being especially suited for low-Bond number, low-Weber number, and low-Capillary number flows in which fluid accelerations are weak and fluid restoring forces (e.g., surface tensions) are strong. After a brief summary of the primary features of RIPPLE, we describe the model equations, the numerical method, and the structure of the computer program. Example calculations then illustrate the method’s properties, with instructions given on the use of the program Homepage: https://www.researchgate.net/publication/277324206_RIPPLE_A_Computer_Program_for_Incompressible_Flows_with_Free_Surfaces Related Software: SOLA-VOF; SLIC; NASA-VOF2D; PROST; Flow-3D; Gerris; FLUENT; GENSMAC; Basilisk; LBfoam; Adam; PyTorch; VOFTools; LASPack; FEATFLOW; BGL; Boost; Boost C++ Libraries; FronTier; SOLA Cited in: 57 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year RIPPLE: A new model for incompressible flows with free surfaces. Zbl 0762.76074Kothe, D. B.; Mjolsness, R. C. 1992 all top 5 Cited by 135 Authors 4 Tsai, Hai-Lung 3 Mostaghimi, Javad 3 Raessi, Mehdi 3 Shyy, Wei 3 Udaykumar, Holavanahalli S. 2 Bussmann, Markus 2 Cuminato, José Alberto 2 Kothe, Douglas B. 2 Mangiavacchi, Norberto 2 Marchetta, Jeffrey G. 2 McKee, Sean 2 Puckett, Elbridge Gerry 2 Renardy, Michael 2 Renardy, Yuriko Yamamuro 2 Tomé, Murilo F. 2 Vasiev, Bakhtier N. 2 Weijer, Cornelis J. 1 Abdullah, Shahrir 1 Afkhami, Shahriar 1 Almgren, Ann S. 1 Ashgriz, Nasser 1 Ataei, Mohammadmehdi 1 Banerjee, Jyotirmay 1 Bell, John B. 1 Bellet, Michel 1 Brackbill, Jeremiah U. 1 Chakraborty, Bhaskar 1 Chandra, Sanjeev 1 Chen, Zhengbing 1 Chung, Jacob N. 1 Chung, Meng-Hsuan 1 Costa, Franco S. 1 Coward, Adrian V. 1 Dadashzadeh, M. 1 Davami, Parviz 1 Dhir, Vijay K. 1 Ebrahimi, Reza 1 Filho, Antonio Castelo 1 Fletcher, David F. 1 Gaponenko, Yu. A. 1 Gerrits, John F. M. 1 Gethin, David T. 1 Golpaygan, Amirreza 1 Hall, Kevin R. 1 Han, Sejin 1 Han, Tian-Yang 1 Harvie, Dalton James Eric 1 Helder, J. A. 1 Helenbrook, Brian T. 1 James, Ashley J. 1 Jiang, Chunbo 1 Jung, Byung Soon 1 Kan, Heng-Chuan 1 Kim, Hyoseob 1 Kim, J. 1 Krishnan, Sreedevi 1 Law, Chung K. 1 Lewis, Roland W. 1 Li, Jie 1 Liang, Dongfang 1 Liovic, Petar 1 Liow, Jong-Leng 1 Liu, Philip L.-F. 1 Lowengrub, John Samuel 1 Lunati, Ivan 1 Luppes, Roel 1 Lynett, Patrick J. 1 Marcus, Daniel L. 1 Marella, Saikrishna V. 1 Maronnier, Vincent 1 Mehdi-Nejad, Vala 1 Meier, Markus 1 Mialdun, Aliaksandr 1 Minghim, Rosane 1 Mirbagheri, S. M. H. 1 Mittal, Rajat 1 Mjolsness, R. C. 1 Morley, Neil B. 1 Navti, S. E. 1 Ni, Mingjiu 1 Oliveira, M. C. F. 1 Or, Dani 1 Paraschivoiu, Marius 1 Park, Chul B. 1 Park, I. R. 1 Passandideh-Fard, Mohammad 1 Pathak, Ashish 1 Perić, Djordje 1 Picasso, Marco 1 Pilliod, James Edward jun. 1 Pitsch, Heinz 1 Protas, Bartosz 1 Rappaz, Jacques 1 Richards, John R. 1 Rider, William J. 1 Roohi, Ehsan 1 Roos, Kevin M. 1 Rudman, Murray 1 Saksono, Prihambodo H. 1 Salgado Sánchez, Pablo ...and 35 more Authors all top 5 Cited in 15 Serials 23 Journal of Computational Physics 6 International Journal for Numerical Methods in Fluids 4 Computers and Fluids 4 International Journal of Heat and Mass Transfer 3 Applied Mathematical Modelling 3 International Journal of Computational Fluid Dynamics 2 Computer Methods in Applied Mechanics and Engineering 2 Communications in Numerical Methods in Engineering 2 Physics of Fluids 2 European Journal of Mechanics. B. Fluids 1 AIAA Journal 1 Journal of Fluid Mechanics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Theoretical Biology all top 5 Cited in 9 Fields 54 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 7 Classical thermodynamics, heat transfer (80-XX) 3 Partial differential equations (35-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year