In e-Science environments, scientists need to execute a scientific application with various parameters multiple times to simulate and experiment complicated problems on the Grid. For this, they should write every single job description with distinct parameters even if this is a troublesome task. To provide the flexibility and adaptability for parameter study, we propose an Application Parameter Description Language (APDL) and a service oriented parameter study scheme, called a Parametric Study Service (PSS), for parameterized simulations on the Grid. The APDL extends the Job Submission Description Language (JSDL) to generate parameters for multiple jobs. The proposed PSS provides a unified interface to submit jobs into various middleware platforms such as gLite, Globus, etc. The Problem Solving Environment (PSE) assists a parameter study for their applications and every research fields tend to construct individual own PSE., The proposed PSS can be easily adapted into the specific PSE because of being implemented as Web Services. In practice, we apply the APDL and the PSS into aerospace research PSE which carry out the three-dimensional turbulent analysis for compressible flow.