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A grid-free dilatation element method for quasi-one-dimensional gas dynamics
Compressible flow Gridfree Quasi-one-dimensional flow
2016/5/18
A grid-free scheme for solving quasi-one-dimensional, isentropic, compressible flow in the subsonic regime is developed with a view toward its eventual generalization to three-dimensional turbulent co...
A simple one dimensional glassy Kac model
Random rotation model sparse numerical analysis random
2015/8/21
We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). ...
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”.
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
Energy Preserving Conservative Kinetic Energy Preserving
2015/6/23
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”.
In the case of the gas dynamics...
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 Central Diff erence Schemes
2015/6/18
The use of energy estimates to establish the stability of dis
crete approximations
to initial value problems has a long history. The energy meth
od is discussed in
the classical book by Morton and...