A high performance computing system that includes a shared fabric memory and a plurality of processors is disclosed. A first processor is coupled to a local storage and executes a first process that, in combination with other processes, causes the plurality of processors to perform certain actions including transferring, from the shared fabric memory to the local storage, a first value corresponding to a first cell of a first set of cells and a first sweep of a stencil code. The actions further include transferring, from a first logical partition in the shared fabric memory associated with the first cell to the local storage, a second value corresponding to a second cell related to the first cell and not in the first set of cells. Further, these actions include updating, by the first process, the first value based on at least the first value and the second value.