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fenics hpc automated solution of pde by high performance fem skip to content fenics hpc automated solution of pde by high performance fem menu welcome to fenics hpc direct fem simulation dfs references news projects mso4sc mooc hpfem eunison development contact scroll down to content welcome to fenics hpc fenics was started in 2003 as an umbrella for open source software components with the goal of automated solution of partial differential equations based on the mathematical structure of the finite element method fem fenics hpc is the collection of fenics components around dolfin hpc a branch of dolfin with the focus of strong parallel scalability and portability on supercomputers and unicorn the unified continuum solver for continuum modeling based on the direct fem simulation dfs methodology described below with breakthrough applications in parameter free adaptive prediction of turbulent flow and fluid structure interaction the fenics hpc components are developed in our bitbucket git repositories direct fem simulation dfs our dfs methodology is based on a piecewise polynomial approximation in space and time and with a numerical stabilization in the form of a weighted least squares method based on the residual the methodology has several unique aspects which we hope can advance the field in new directions the incompressible navier stokes equations nse are discretized directly without applying any filter thus the method does not approximate any large eddy simulation les filtered solution but is instead an approximation of a weak solution satisfying the weak form of the nse for this method we have a posteriori error estimates of quantities of interest with respect to a weak solution which form the basis for our adaptive mesh refinement algorithm the a posteriori error estimates are based on the solution of an associated adjoint problem with a goal quantity such as a drag coefficient as data we model turbulent boundary layers by a slip boundary condition which is a good approximation for small skin friction stress which gives enormous savings in computational cost by not having to resolve a very thin boundary layer references johan hoffman johan jansson niclas jansson fenics hpc automated predictive high performance finite element computing with applications in aerodynamics lecture notes in computer science 2016 johan hoffman johan jansson niclas jansson rodrigo vilela de abreu claes johnson computability and adaptivity in cfd encyclopedia of computational mechanics 2016 johan hoffman johan jansson rodrigo vilela de abreu niyazi cem degirmenci niclas jansson kaspar müller murtazo nazarov jeannette hiromi spühler unicorn parallel adaptive finite element simulation of turbulent flow and fluid structure interaction for deforming domains and complex geometry computers fluids 2013 johan hoffman johan jansson niyazi cem degirmenci niclas jansson murtazo nazarov unicorn a unified continuum mechanics solver in automated solution pf differential equations by the finite element method lecture notes in computational science and engineering 2011 news posted on november 30 2018 november 30 2018 video tutorial on open source unicorn fenics hpc in mso4sc with web source code editing new video tutorial on open source unicorn fenics hpc in mso4sc with web source code editing posted on september 26 2017 new mooc hpfem free online course learn how to make cutting edge simulations engineering simulations are rapidly becoming fundamental in virtually all industrial sectors from medicine to energy aerospace and beyond the breakthrough general adaptive finite element methods afem and open source fenics software you will learn in this course will position you to take lead to effectively solve the grand continue reading new mooc hpfem free online course posted on september 26 2017 new paper time resolved adaptive direct fem simulation of high lift aircraft configurations our chapter time resolved adaptive direct fem simulation of high lift aircraft configurations has been accapted for publication in the springer brief numerical simulation of the aerodynamics of high lift configurations connected to the hiliftpw 3 workshop contact for questions or project ideas please email the fenics hpc development team at dev fenics hpc org the website is maintained by johan jansson jjan kth se and frida svelander svel kth se all simulation images have been created by johan jansson proudly powered by wordpress