The Discrete Simulation of Fluid Dynamics (DSFD) series of conferences originated with the 1986 Los Alamos conference organised by Gary D. Doolen. Since that time, the DSFD conferences have emerged as the premier forum for researchers in the field, and many exciting new discoveries in lattice models of fluid dynamics have been announced at DSFD conferences. Topics emphasised at these meetings include lattice Boltzmann schemes, dissipative particle dynamics, smoothed-particle hydrodynamics, direct simulation Monte Carlo, molecular dynamics, quantum Monte Carlo methods, multiparticle collision dynamics and hybrid methods. At the 23rd edition of DSFD in Paris 2014, we were given the privilege of organising the 24th running of the meeting series in Edinburgh, from 13th to 17th July 2015 at the Royal Society of Edinburgh, which names Adam Smith, Joseph Black and Benjamin Franklin among its founding fellows. Edinburgh is Scotland's truly cosmopolitan capital. Apart from its amazing castle and Arthur's Seat (an ancient volcanic plug), parts of the city centre are UNESCO World Heritage Sites. Numerous famous scientists have been born or worked in Edinburgh, for example Alexander Graham Bell, Max Born, Charles Darwin, Peter Higgs or James Clerk Maxwell. We were delighted to host a total of 164 attendees, 60 of whom were students, from 21 countries. We enjoyed twelve invited talks and 100 contributed talks.