The ADIGMA Project -- The ADIGMA Project -- Research Activities -- Exploiting Data Locality in the DGM Discretisation for Optimal Efficiency -- Very High-Order Accurate Discontinuous Galerkin Computation of Transonic Turbulent Flows on Aeronautical Configurations -- Incorporating a Discontinuous Galerkin Method into the Existing Vertex-Centered Edge-Based Finite Volume Solver Edge -- Explicit One-Step Discontinuous Galerkin Schemes for Unsteady Flow Simulations -- RKDG with WENO Type Limiters -- IPG Discretizations of the Compressible Navier-Stokes Equations -- Development of Discontinuous Galerkin Method for RANS Equations on Multibloc Hexahedral Meshes -- Construction of High-Order Non Upwind Distribution Schemes -- High Order Residual Distribution Schemes Based on Multidimensional Upwinding -- Higher-Order Stabilized Finite Elements in an Industrial Navier-Stokes Code -- A Third-Order Finite-Volume Residual-Based Scheme on Unstructured Grids -- Investigation of Issues Relating to Meshing for Higher-Order Discretizations -- Synthesis Report on Shock Capturing Strategies -- Implicit Strategy and Parallelization of a High Order Residual Distribution Scheme -- Hybrid Multigrid DG/FV Methods for Viscous Turbulent Flows -- Semi-implicit Time Discretization of the Discontinuous Galerkin Method for the Navier-Stokes Equations -- Multigrid Optimization for Space-Time Discontinuous Galerkin Discretizations of Advection Dominated Flows -- COOLFluiD – A Collaborative Simulation Environment for Research in Aerodynamics -- Robust and Efficient Implementation of Very High-Order Discontinuous Galerkin Methods in CFD -- Agglomeration Multigrid for the Vertex-Centered Dual Discontinuous Galerkin Method -- Higher–Order Aerodynamic Computations Using an Edge Based Finite Volume Scheme -- Dynamic Load Balancing for Parallelization of Adaptive Algorithms -- Error Estimation and Adaptive Mesh Refinement for Aerodynamic Flows -- Adjoint–Based Correction of Aerodynamic Coefficients on Structured Multiblock Grids -- Goal-Oriented Mesh Adaptation in an Industrial Stabilized Finite Element Navier-Stokes Code -- Application of Feature-Based Grid Adaptation to Helicopter Rotor Flow -- High–Order hp–Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows -- Treatment of the Non-polygonal Boundary with the Aid of NURBS -- HP-Adaption in Space-Time within an Explicit Discontinuous Galerkin Framework -- Anisotropic Mesh Adaptation in the Presence of Complex Boundaries -- Industrial Assessment of Newly Developed Technologies -- Requirements and Assessment Methodology -- Verification and Assessment -- Conclusion and Recommendations -- Conclusions and Recommendations.

This volume contains results gained from the EU-funded 6th Framework project ADIGMA (Adaptive Higher-order Variational Methods for Aerodynamic Applications in Industry). The goal of ADIGMA was the development and utilization of innovative adaptive higher-order methods for the compressible flow equations enabling reliable, mesh independent numerical solutions for large-scale aerodynamic applications in aircraft industry. The ADIGMA consortium was comprised of 22 organizations which included the main European aircraft manufacturers, the major European research establishments and several universities, all with well proven expertise in Computational Fluid Dynamics (CFD). The book presents an introduction to the project, exhibits partners’ methods and ap-proaches and provides a critical assessment of the newly developed methods for industrial aerodynamic applications. The best numerical strategies for integration as major building blocks for the next generation of industrial flow solvers are identified.