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Energy stable flux reconstruction schemes for advection–diffusion problems
High-order Unstructured Discontinuous Galerkin
2015/7/3
High-order methods for unstructured grids provide a promising option for solving chal lenging problems in computational fluid dynamics. Flux reconstruction (FR) is a framework which unifie...
Energy stable flux reconstruction schemes for advection–diffusion problems on triangles
High-order Discontinuous Galerkin Spectral difference
2015/7/3
The Flux Reconstruction (FR) approach unifies several well-known high-order schemes for unstructured grids, including a collocation-based nodal discontinuous Galerkin (DG) method and all types o...
A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements
High-order methods Flux reconstruction Nodal discontinuous Galerkin method Triangular elements Stability
2015/7/3
The flux reconstruction (FR) approach allows various well-known high-order schemes, such as collocation based nodal discontinuous Galerkin (DG) methods and spectral difference (SD) methods, to b...
An Extension of Energy Stable Flux Reconstruction to Unsteady,Non-linear,Viscous Problems on Mixed Grids
Extension Energy Stable Flux Reconstruction Unsteady Non-linear Viscous Problems Mixed Grids
2015/7/3
This paper extends the high-order Flux Reconstruction (FR) approach to the treatment of non-linear diffusive fluxes on triangles. The FR approach for solving diffusion problems is re...
Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations
High-Order Energy Stable Flux Reconstruction Schemes Euler Equations
2015/7/3
The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstructi...
Kinetic Energy Conserving Discontinuous Galerkin Scheme
Kinetic Energy Conserving Discontinuous Galerkin Scheme
2015/7/3
In this document, we present a proof that generalizes Jameson’s Kinetic Energy Preserving Finite Volume scheme to higher order Discontinuous Garlerkin method. We then present some results and discuss ...
A New Class of High-Order Energy Stable Flux Reconstruction Schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method
2015/7/3
The flux reconstruction approach to high-order methods is robust, efficient, simple to implement, and allows various high-order schemes, such as the nodal discontinu ous Galerkin method an...
Direct Numerical Simulations of a Two-dimensional Viscous Flow in a Shocktube using a Kinetic Energy Preserving Scheme
Direct Numerical Simulations Two-dimensional Viscous Flow Shocktube Kinetic Energy Preserving Scheme
2015/7/3
This paper presents the results of °ow computations done using Jameson's ˉnite volume kinetic energy preserving scheme. Direct numerical simulations were performed in a two dimensional viscous shocktu...
Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes
Energy Estimates Nonlinear Conservation Laws Applications Solutions Burgers Equation One-Dimensional Viscous Flow
2015/7/2
A prime focus in the development of computational fluid dynamics (CFD) for aeronautics has been the simulation of transonic and supersonic flows which generally contain shock waves, contac...
Formulation of Kinetic Energy Preserving Conservative Schemes for Gas Dynamics and Direct Numerical Simulation of One-Dimensional Viscous Compressible Flow in a Shock Tube Using Entropy and Kinetic Energy Preserving Schemes
Preserving Conservative Schemes Gas Dynamics Direct Numerical Simulation One-Dimensional Viscous Compressible Flow
2015/7/2
This paper follows up on the author’s recent paper “The Construction of Discretely Conservative Finite Volume Schemes that also Globally Conserve Energy or Enthalpy”.
The Construction of Discretely Conservative Finite Volume Schemes that Also Globally Conserve Energy or Entropy
Construction Finite Volume Schemes Also Globally Conserve Energy
2015/7/2
Throughout the history of the development of discrete methods for linear and nonlinear conservation laws, and in particular computational fluid dynamics, there has been an ongoing struggle to &#...
On the mechanical energy and effective stress in saturated and unsaturated porous continua
mechanical energy effective stress saturated and unsaturated porous continua
2015/7/1
This paper has two objectives: (a) to formulate a mechanical theory of porous continua within the framework of strong discontinuity concept commonly employed for the analysis of strain localization in...
Power Evaluation For Flutter-Based Electromagnetic Energy Harvester Using CFD Simulations
Power Evaluation Flutter-Based Electromagnetic Energy Harvester CFD Simulations
2015/6/30
Structural instability caused by self exciting aerodynamic forces (flutter) can be used as an effective input source for small scale energy harvesters. The self exciting aerodynamic force exerted on a...
Asynchronous phase shifted electromagnetic energy harvester
Energy harvester Electromagnetic transducer Asynchronous vibration Resonance
2015/6/30
A vibration-based energy harvester is built upon the idea of transforming mechanical vibration of an inertial frame into electrical power. When the excitation frequency matches the natural frequency o...
Power Evaluation for Flutter-based Electromagnetic Energy Harvester using CFD Simulations
Flutter CFD simulation aerodynamic instability energy harvesting electromagnetic
2015/6/30
Structural instability caused by self exciting aerodynamic forces (flutter) can be used as an effective input source for small scale energy harvesters. The self exciting aerodynamic force exerted on a...