A system for executing a given scientific code using a suitable finite-volume or finite-element solver for a large dataset represented as a grid, comprising a plurality of equal computing nodes interconnected by node communication means and a parallel computing software package for distributing and controlling the execution in sub-grids among said computing nodes; each computing node comprising at least a CPU-based first processing means and a FPGA-based second processing means interconnected by a bus; said package being configured for the simultaneous execution of at least one first solver process (which is fully executed in a first processing means) and one second solver process (which is fully executed in a second processing means) in each computing node for one sub-grid of said grid and for managing the exchange of boundary data with the solver processes that solve neighbor sub-grids.