Although the focus of the paper is on #SmoothedParticleHydrodynamics, and the simulation of viscous fluids, the key finding is of more general interest: the numerical stability of #BiCGSTAB can be improved by rewriting the standard formulation https://en.wikipedia.org/wiki/Biconjugate_gradient_stabilized_method to avoid catastrophic cancellations in the computation of some important coefficients. Anyone interested in solving large linear systems would benefit from adopting the proposed alternative form of the method.
#BiCGSTAB #smoothedparticlehydrodynamics
I'm still preparing my post series on #GPGPU, but in the mean time you can read some about in our most recent published paper:
“A numerically robust, parallel-friendly variant of #BiCGSTAB for the semi-implicit integration of the viscous term in #SmoothedParticleHydrodynamics”, freely accessible for the next 50 days from this link:
https://authors.elsevier.com/a/1fN8C508HsZiG
#smoothedparticlehydrodynamics #BiCGSTAB #gpgpu
How does it look like when smoothed particles in a hydrodynamic simulation are doing nothing? Like this.. There is a small amount of initial energy and as you can see, no energy is lost 😆
#SmoothedParticleHydrodynamics #NumericalMethods
#smoothedparticlehydrodynamics #numericalmethods
For a more hands-on learning experience, the upcoming 16th #SPHERIC International Workshop <https://www.spheric2022.it> offers a #TrainingDay fully dedicated to learning the basics of #SmoothedParticleHydrodynamics, from the theory to practical examples with a #FreeSoftware #OpenSource implementation.
#opensource #FreeSoftware #smoothedparticlehydrodynamics #TrainingDay #spheric
There's a lot to learn, and a lot to research, on #SmoothedParticleHydrodynamics. The #SPHERIC Global Seminars <https://www.spheric-sph.org/global-seminars> cover many interesting aspects of the method and its applications, and are an excellent way to whet your appetite and pique your interest.
#spheric #smoothedparticlehydrodynamics
The community of researchers and industrial users of #SmoothedParticleHydrodynamics is represented by #SPHERIC, an #ERCOFTAC #SIG with the objective of fostering the development of the method and its adoption <https://spheric-sph.org>.
#SPHERIC defined 5 #GrandChallenges for #SPH:
GC1: #convergence, #consistency and #stability
GC2: #BoundaryConditions
GC3: #adaptivity
GC4: Coupling to other models
GC5: Applicability to #industry
#industry #adaptivity #BoundaryConditions #stability #consistency #convergence #sph #GrandChallenges #sig #ERCOFTAC #spheric #smoothedparticlehydrodynamics
#SmoothedParticleHydrodynamics was originally developed for #astrophysics (modelling star formation), but has expanded to #NavalArchitecture, #OceanEngineering, #waterworks, #aeronautics, #geology, #medicine, just to name a few.
It has caught the attention of several industries, with applications ranging from the design of engines, tires and windshield wipers to the development of wave energy converters, ship-locks, fish-passes and dam spillways.
#medicine #geology #aeronautics #waterworks #OceanEngineering #NavalArchitecture #astrophysics #smoothedparticlehydrodynamics
Let's talk about #SmoothedParticleHydrodynamics (#SPH for short, even though you'll see #sph_ used on other sites, because #SPH also has a very common, very not-safe-for-work meaning …).
Why should we talk about it? Because it's relatively less known than other numerical methods, possibly undeservingly so, and because I love it.
So what is it? SPH is a Lagrangian meshless numerical method primarily used for #ComputationalFluidDynamics (and more recently also #ComputationalMechanics).
#ComputationalMechanics #ComputationalFluidDynamics #sph_ #sph #smoothedparticlehydrodynamics
I work at the Osservatorio Etneo, Catania section of the Italian National Institute for Geophysics and Volcanology #INGV.
Mathematician by formation, scientific software developer by necessity, I work on #lava flow #simulation, #hazard assessment, #risk mitigation.
Much of my work revolves around #ComputationalFluidDynamics (#CFD), w/ a preference for #SmoothedParticleHydrodynamics (#SPH).
I should probably mention my interest in #HPC and #GPGPU, but I ran out of characters …
#gpgpu #hpc #sph #smoothedparticlehydrodynamics #cfd #ComputationalFluidDynamics #risk #hazard #simulation #Lava #INGV #introduction