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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixing flow and advection-diffusion-reaction equations
混合流 平流 扩散反应方程
2023/5/18
In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of application is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief int...
Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Advances in Marine Ecosystem Dynamics from US GLOBEC: The Horizontal-Advection Bottom-up Forcing Paradigm
Global ocean ecosystem dynamics ecosystem climate Marine ecosystems
2015/7/16
A primary focus of the US Global Ocean Ecosystem Dynamics (GLOBEC) program was to identify the mechanisms of ecosystem response to large-scale climate forcing under the assumption that bottom-up forci...
Energy Stable Flux Reconstruction Schemes for Advection–Diffusion Problems on Tetrahedra
High-order Unstructured Discontinuous Galerkin Spectral difference Flux reconstruction · Tetrahedra
2015/7/3
The flux reconstruction (FR) methodology provides a unifying description of many high-order schemes, including a particular discontinuous Galerkin (DG) scheme and several spectral difference (SD...
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...
Unsteady Adjoint Method for the Optimal Control of Advection and Burger’s Equations using High-Order Spectral Difference Method
Unsteady Adjoint Method Optimal Control Advection Burger’s Equations High-Order Spectral
2015/7/3
In this study, we investigate the method for adjoint-based optimal control of linear and non-linear equations. In particular, we are interested in the formulation of the unsteady adjoint method based ...
Reconstruction of vector fields for semi-Lagrangian advection on unstructured, staggered grids
Interpolation Vector fields Unstructured Staggered grids Semi-Lagrangian advection
2015/6/30
Applying the semi-Lagrangian method to discretize the advection of momentum eliminates the Courant number constraint associated with explicit Eulerian momentum advection in coastal ocean models. Key s...
Pangolin v1.0, a conservative 2-D advection model towards large-scale parallel calculation
large-scale parallel calculation Pangolin v1.0
2015/3/5
To exploit the possibilities of parallel computers, we designed a large-scale bidimensional atmospheric
advection model named Pangolin.
A Lagrangian advection scheme with shape matrix (LASM) for solving advection problems
solving advection problems Lagrangian advection scheme
2014/12/19
A new Lagrangian advection scheme with shape matrix (LASM) is proposed to take advantage of the extreme low numerical diffusion of the Lagrangian methods. The tracer is discretized into finite parcels...
An orthogonal terrain-following coordinate and its preliminary tests using 2-D idealized advection experiments
orthogonal terrain-following coordinate preliminary tests 2-D idealized advection experiments
2014/12/19
We have designed an orthogonal curvilinear terrain-following coordinate (the orthogonal σ coordinate, or the OS coordinate) to reduce the advection errors in the classic σ coordinate. First, we rotate...
Air Pollution Steady-State Advection-Diffusion Equation: The General Three-Dimensional Solution
Advection-Diffusion Equation Analytical Solution Laplace Transform Air Pollution Modeling Atmospheric Boundary Layer Eulerian Models
2013/3/11
Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection-diffusio...
Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma
Advection equation Conservative form Multi-moment Vlasov simulations Magnetized plasma
2012/2/21
We present an extension of the multi-moment advection scheme (Minoshima et al., 2011, J. Comput. Phys.) to the three-dimensional case, for full electromagnetic Vlasov simulations of magnetized plasma....
A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations
Numerical Scheme, Numerical Analysis, Numerical Stability, Positivity Condition, Advection-Diffusion Equation, Advection Equation, High-Order Scheme, Godunov Theorem, Burgers’ Equation
2013/1/30
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
Analytical Solution to the One-Dimensional Advection-Diffusion Equation with Temporally Dependent Coefficients
Advection Diffusion Dispersion Continuous Input Flux Type Condition
2013/3/19
In a one-dimensional advection-diffusion equation with temporally dependent coefficients three cases may arise: solute dispersion parameter is time dependent while the flow domain transporting the sol...