r7.01.34 SUSHI finite volume diagrams for modeling miscible unsaturated flows

Summary:

This note briefly presents the finite volume diagrams developed in Code_Aster. A brief summary of the behavioral equations concerned is carried out and then the diagrams used are presented.

Table of Contents

• 1. Introduction
• 2. Problem Overview: Assumptions, Notations
  • 2.1. Modeling framework
  • 2.2. Notations
  • 2.3. Constitutive equations of the model
• 3. The finite volume schemes implemented in Code_Aster
  • 3.1. Overview of finite volumes
  • 3.2. SUSHI finite volumes applied to miscible two-phase flows
• 4. Implemented in Code_Aster
  • 4.1. Description of the elements
  • 4.2. Calculation of generalized stresses and deformations
  • 4.3. Integration
  • 4.4. Internal variables
  • 4.5. Validation
• 5. Bibliography
• 6. Description of document versions