Nonreflecting Outlet Boundary Conditions for Smoothed Particle Hydrodynamics
71
is imposed on a prescribed boundary condition or non-prescribed boundary condition,
respectively. Hence, it removed a violation from the periodic boundary condition. Several numerical tests demonstrated that the proposed technique is obtained good results
with a high agreement with the analytical solution.
References
1. Joseph, P.M., Patrick, J.F., Zhu, Y.: Modeling low reynolds number incompressible flows
using SPH. J. Comput. Phys. 136(1), 214–226 (1997)
2. Lee, E.-S., Moulinec, C., Xu, R., Violeau, D., Laurence, D., Stansby, P.: Comparisons of
weakly compressible and truly incompressible algorithms for the SPH mesh free particle
method. J. Comput. Phys. 227(18), 8417–8436 (2008)
3. Lastiwka, M., Basa, M., Quinlan, N.J.: Permeable and non-reflecting boundary conditions in
SPH. Int. J. Numer. Meth. Fluids 61(7), 709–724 (2009)
4. Carlos, E.A., Jaime, K., Leonardo, D.G.S., José, M.D., Eduardo de la, C.S.: Nonreflecting
outlet boundary conditions for incompressible flows using SPH. Comput. Fluids, 159, 177–
188 (2017)
5. Vacondio, R., Rogers, B.D., Stansby, P.K., Mignosa, P.: Sph modeling of shallow flow with
open boundaries for practical flood simulation. J. Hydraul. Eng. 138(6), 530–541 (2012)
6. Federico, I., Marrone, S., Colagrossi, A., Aristodemo, F., Antuono, M.: Simulating 2D openchannel flows through an SPH model. Euro. J. Mech. B/Fluids 34, 35–46 (2012)
7. Tafuni, A., Domínguez, J.M., Vacondio, R., Crespo, A.J.C.: A versatile algorithm for the
treatment of open boundary conditions in smoothed particle hydrodynamics GPU models.
Comput. Meth. Appl. Mech. Eng. 342, 604–624 (2018)
8. Ferrand, M., Joly, A., Kassiotis, C., Violeau, D., Leroy, A., Morel, F.X., Rogers, B.D.:
Unsteady open boundaries for SPH using semi-analytical conditions and Riemann solver
in 2D. Comput. Phys. Comm. 210, 29–44 (2017)
9. Antuono, M., Colagrossi, A., Marrone, S., Molteni, D.: Free-surface flows solved by means
of SPH schemes with numerical diffusive terms. Comput. Phys. Commun. 181(3), 532–549
(2010)
10. Antuono, M., Marrone, S., Colagrossi, A., Bouscasse, B.: Energy balance in the δ-SPH
scheme. Comput. Methods Appl. Mech. Eng. 289, 209–226 (2015)
11. Douillet-Grellier, T., De Vuyst, F., Calandra, H., Ricoux, P.: Simulations of intermittent twophase flows in pipes using smoothed particle hydrodynamics. Comput. Fluids 177, 101–122
(2018)
12. Sun, P.N., Colagrossi, A., Marrone, S., Antuono, M., Zhang, A.M.: Multi-resolution Deltaplus-SPH with tensile instability control: towards high reynolds number flows. 224, 63–80
(2018)
13. Leroy, A., Violeau, D., Ferrand, M., Fratter, L., Joly, A.: A new open boundary formulation
for incompressible SPH. Comput. Math Appl. 72, 2417–2432 (2016)
71
is imposed on a prescribed boundary condition or non-prescribed boundary condition,
respectively. Hence, it removed a violation from the periodic boundary condition. Several numerical tests demonstrated that the proposed technique is obtained good results
with a high agreement with the analytical solution.
References
1. Joseph, P.M., Patrick, J.F., Zhu, Y.: Modeling low reynolds number incompressible flows
using SPH. J. Comput. Phys. 136(1), 214–226 (1997)
2. Lee, E.-S., Moulinec, C., Xu, R., Violeau, D., Laurence, D., Stansby, P.: Comparisons of
weakly compressible and truly incompressible algorithms for the SPH mesh free particle
method. J. Comput. Phys. 227(18), 8417–8436 (2008)
3. Lastiwka, M., Basa, M., Quinlan, N.J.: Permeable and non-reflecting boundary conditions in
SPH. Int. J. Numer. Meth. Fluids 61(7), 709–724 (2009)
4. Carlos, E.A., Jaime, K., Leonardo, D.G.S., José, M.D., Eduardo de la, C.S.: Nonreflecting
outlet boundary conditions for incompressible flows using SPH. Comput. Fluids, 159, 177–
188 (2017)
5. Vacondio, R., Rogers, B.D., Stansby, P.K., Mignosa, P.: Sph modeling of shallow flow with
open boundaries for practical flood simulation. J. Hydraul. Eng. 138(6), 530–541 (2012)
6. Federico, I., Marrone, S., Colagrossi, A., Aristodemo, F., Antuono, M.: Simulating 2D openchannel flows through an SPH model. Euro. J. Mech. B/Fluids 34, 35–46 (2012)
7. Tafuni, A., Domínguez, J.M., Vacondio, R., Crespo, A.J.C.: A versatile algorithm for the
treatment of open boundary conditions in smoothed particle hydrodynamics GPU models.
Comput. Meth. Appl. Mech. Eng. 342, 604–624 (2018)
8. Ferrand, M., Joly, A., Kassiotis, C., Violeau, D., Leroy, A., Morel, F.X., Rogers, B.D.:
Unsteady open boundaries for SPH using semi-analytical conditions and Riemann solver
in 2D. Comput. Phys. Comm. 210, 29–44 (2017)
9. Antuono, M., Colagrossi, A., Marrone, S., Molteni, D.: Free-surface flows solved by means
of SPH schemes with numerical diffusive terms. Comput. Phys. Commun. 181(3), 532–549
(2010)
10. Antuono, M., Marrone, S., Colagrossi, A., Bouscasse, B.: Energy balance in the δ-SPH
scheme. Comput. Methods Appl. Mech. Eng. 289, 209–226 (2015)
11. Douillet-Grellier, T., De Vuyst, F., Calandra, H., Ricoux, P.: Simulations of intermittent twophase flows in pipes using smoothed particle hydrodynamics. Comput. Fluids 177, 101–122
(2018)
12. Sun, P.N., Colagrossi, A., Marrone, S., Antuono, M., Zhang, A.M.: Multi-resolution Deltaplus-SPH with tensile instability control: towards high reynolds number flows. 224, 63–80
(2018)
13. Leroy, A., Violeau, D., Ferrand, M., Fratter, L., Joly, A.: A new open boundary formulation
for incompressible SPH. Comput. Math Appl. 72, 2417–2432 (2016)