Abstract: A method for simulating the combustion of a fluid in a combustion chamber, for the design of said combustion chamber, which includes: discretizing the space of the chamber into a given mesh; training a neural network by means of a learning set associating a graph corresponding to the mesh, the vertices of which have, as a value, progress variables predicted by a computational fluid dynamics simulation with local combustion quantities at these vertices; and an iterative simulation phase, where: the values predicted by the neural network of a local combustion quantity at the vertices of the mesh are provided as input to a solver, in order to obtain a value of a progress variable at each vertex of said mesh, and a graph corresponding to the vertices of the mesh is provided to said neural network, each vertex having a corresponding value of said progress variable, obtained by said solver, in order to obtain predicted values of the local combustion quantity at said vertices.