Abstract
This paper discusses the meshless numerical method Smoothed Particle Hydrodynamics and its application to water waves and nearshore circulation. In particularly we focus on an implementation of the model on the graphics processing unit (GPU) of computers, which permits low-cost supercomputing capabilities for certain types of computational problems. The implementation here runs on Nvidia graphics cards, from off-the-shelf laptops to the top-of-line Tesla cards for workstations with their current 480 massively parallel streaming processors. Here we apply the model to breaking waves and nearshore circulation, demonstrating that SPH can model changes in wave properties due to shoaling, refraction, and diffraction and wave-current interaction; as well as nonlinear phenomena such as harmonic generation, and, by using wave-period averaged quantities, such aspects of nearshore circulation as wave set-up, longshore currents, rip currents, and nearshore circulation gyres.
Highlights
The modeling of water waves using the meshless Lagrangian numerical method SmoothedParticle Hydrodynamics (SPH) has been done since 1994 (Monaghan, 1994)
Dalrymple and Herault (2009) used graphics processing unit (GPU)-SPHysics to examine various types of levee failure, which showed that the speed of falling wall affects the impact of water on structures
We show that the method is capable of modeling other wave phenomena, both linear and nonlinear, such as refraction, diffraction, harmonic generation in shallow water, and wave-current interaction
Summary
The modeling of water waves using the meshless Lagrangian numerical method SmoothedParticle Hydrodynamics (SPH) has been done since 1994 (Monaghan, 1994). INTRODUCTION The modeling of water waves using the meshless Lagrangian numerical method Smoothed Numerous advances in modeling technology and hardware have occurred and the computational applications of the SPH method have increased dramatically. We use GPU-SPHysics to model waves in the surf zone on sloping beaches.
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