ISPH wave simulation by using an internal wave maker

Abstract

In this paper, a non-reflection internal wave maker algorithm is included in the incompressible Smoothed Particle Hydrodynamics (ISPH) model for the wave simulations. A momentum source term derived from the Boussinesq equations is employed and added into the Lagrangian form of Navier-Stokes equations for the wave generations that are not affected by the reflected waves. In this work, the technical details of implementing the internal force into the ISPH equations are proposed and a series of numerical tests are carried out for the selection of relevant parameters and investigation of their sensitivities in different wave conditions. In model applications, the problems of wave propagation and reflection from a vertical wall are studied to verify the model performance in standing wave generations and the non-reflection characteristics of the internal wave maker. Furthermore, a more challenging wave decomposition process over a trap-* Corresponding author, Tel.: +86 028-85406172; Fax: +86 028-85405148 E-mail address: cvelinpz@126.com ezoid breakwater is presented, which has not been fully investigated by other similar particle-based methods. The simulation results of wave surface profile on six wave gauges agree well with the experimental results and this shows that the present model with the non-reflection internal wave maker can provide a more robust particle modeling tool for the long time simulation of wave and wave-structure interactions.

Consistent Particle Method simulation of solitary wave impinging on and overtopping a seawall

“…Coefficients ai (i = 1, 2, …, 5) in Equation 11and ci (i = 1, 2, …, 5) in Equation 12are the coefficients generated by the weighted-least-square scheme (refer to Equation (21) in [32]). Substituting the general variable f in Equations (11) and (12) with particle velocity or pressure leads to the required derivative computations.…”

“…Another strategy of solitary wave generation is to add a source term in either the mass conservation equation [9] or the momentum equation [10,11] in the internal flow region.…”

Numerical Simulation of Wave Breaking Over a Submerged Step with SPH Method

“…where z a ¼ À0:53d. Generally, the momentum wave maker zone is acquiescently placed along the whole water depth in the extant literatures, and it can give a good agreement between the predicted and targeted wave surfaces under shallow and intermediate water conditions (Liu et al [2015]), while it will produce a large error in the predicted wave surface under deep water conditions. Following Wen and Ren [2018], the wave maker zone is installed only in the upper region of 0.5L depth when the relative water depth d=L > 0:5 and the nominal water depth is set as 0.5L to calculate the corresponding parameters in Eqs.…”

Simulation on tsunami-like solitary wave run-up around a conical island using a modified mass source method

“…Depending on the position where the source term is added, it is also made up of two sub-methods: the momentum source wave method; and the mass source wave method (Zhang, Fan, Liang, & Hua, 2019). Ha, Lin, and Cho (2013) and Liu, Lin, and Shao (2015) pointed out that the mass source wave method is more widely used and suitable for both deep and shallow waters; consequently it is inserted in the wave-generating module of DUT-FOAM, which is our in-house solver developed to meet the specific needs of research. A typical numerical wave tank with an internal mass source is shown in Figure 2.…”