Ctadel: a Generator of Eecient Code for Pde-based Scientiic Applications

In this paper, we present the Ctadel system, a Code-generation Tool for Applications based on Diierential Equations using a very high level Language speciication. The Ctadel system generates eecient and vectorizable Fortran 77 code automatically from a very high level language description of a model described by partial diierential equations (PDEs). The system combines algebraic simpliication and powerful global common subexpression elimination to guarantee the generation of eecient code. A prototype implementation has been developed which is currently limited to explicit nite diierence methods as solution method. After an informal, but detailed description of the Ctadel system, results of this prototype implementation will be presented for the time-dependent Euler equations to simulate an inviscid, compressible ow and for the calculation of the explicit dynamical tendencies within the hirlam model, which is a production code for limited area numerical weather forecasting. These results show that generation of eecient code is well feasible within the presented approach.