Energy is a vital substance required throughout the world to maintain our current civilisation and advance further. A significant portion of our energy needs come from oil and gas. Giant oil and gas reservoirs of the Middle East and other regions contribute to a major portion of the world’s hydrocarbon supply. Mathematical models in fluid dynamics and flow through porous media play a critical role in developing and managing these reservoirs. Today, oil companies and universities work on highly sophisticated mathematical and computational methods describing multi-phase, multi-component fluid flow in reservoirs, pipeline networks and surface separators. Numerical solutions of these highly nonlinear coupled partial differential equations require moderate to sophisticated computing platforms. As giant fields mature, being able to utilise the vast amount of measured data with higher accuracy in simulators paves the road to recover more hydrocarbons and thus respond to the world’s energy needs. This conference will gather mathematicians and engineers to address challenges in mathematical modelling of compressible multiphase flow in porous media with reactions, fractured media, flow in pipes and pipe networks, coupled numerical solution of porous and non-porous media, geomechanics, diffusion, dispersion problems, unstructured grid generation, linear and nonlinear solvers, multi-grid methods, new discretisation methods, parallel computing, hybrid computing involving multicore CPUs and GPUs, scientific visualisation of large data, real field studies for giant oil and gas reservoirs using simulators.