In the present work,we develop in detail the process leading to reduction of models in chemical kinetics when using the Method of Invariant Grids(MIG).To this end,reduced models(invariant grids)are obtained by refinin...In the present work,we develop in detail the process leading to reduction of models in chemical kinetics when using the Method of Invariant Grids(MIG).To this end,reduced models(invariant grids)are obtained by refining initial approximations of slow invariant manifolds,and used for integrating smaller and less stiff systems of equations capable to recover the detailed description with high accuracy.Moreover,we clarify the role played by thermodynamics in model reduction,and carry out a comparison between detailed and reduced solutions for a model hydrogen oxidation reaction.展开更多
Realization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices.The present multiphase lattice Boltzmann model is used in two-dimensi...Realization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices.The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers.Results are found to be in a good agreement with experimental findings.展开更多
In this paper,we highlight the benefits resulting from imposing energyconserving equilibria in entropic lattice Boltzmann models for isothermal flows.The advantages are documented through a series of numerical simulat...In this paper,we highlight the benefits resulting from imposing energyconserving equilibria in entropic lattice Boltzmann models for isothermal flows.The advantages are documented through a series of numerical simulations,such as TaylorGreen vortices,cavity flow and flow past a sphere.展开更多
基金partially supported by SNF(Project 200021-107885/1)(E.C.)CCEMCH(I.V.K.).
文摘In the present work,we develop in detail the process leading to reduction of models in chemical kinetics when using the Method of Invariant Grids(MIG).To this end,reduced models(invariant grids)are obtained by refining initial approximations of slow invariant manifolds,and used for integrating smaller and less stiff systems of equations capable to recover the detailed description with high accuracy.Moreover,we clarify the role played by thermodynamics in model reduction,and carry out a comparison between detailed and reduced solutions for a model hydrogen oxidation reaction.
基金We gratefully acknowledge the funding from the Engineering and Physical Sciences Research Council under the HEC Studentship scheme and grant No.EP/I000801/1.
文摘Realization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices.The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers.Results are found to be in a good agreement with experimental findings.
基金Department of Science and Technology(DST),India for providing computational resources via Ramanujan Fellowship grantproviding financial support and kind hospitality through the Raman Chair of the Indian Academy of Sciences.
文摘In this paper,we highlight the benefits resulting from imposing energyconserving equilibria in entropic lattice Boltzmann models for isothermal flows.The advantages are documented through a series of numerical simulations,such as TaylorGreen vortices,cavity flow and flow past a sphere.
