Current systems for enacting scientific experiments, and simulation workflows in particular, do not support multi-scale and multi-field problems if they are not coupled on the level of the mathematical model. To address this deficiency, we present an approach enabling the trial-and-error modeling and execution of multi-scale and/or multi-field simulations in a top-down and bottom-up manner which is based on the notion of choreographies. The approach defines techniques for composing data-intensive, scientific workflows in more complex simulations in a generic, domain-independent way and thus provides means for collaborative and integrated data management using the workflow/process-based paradigm. We contribute a life cycle definition of such simulations and present in detail concepts and techniques that support all life cycle phases. Furthermore, requirements on a respective software system and choreography language supporting multi-scale and/or multi-field simulations are identified, and an architecture and its realization are presented.