Conservation laws in discrete geometry

In this paper, we begin by reviewing the regularization strategies used in shock wave calculations in both a Lagrangian and an Eulerian framework.

The Discrete Geometric Conservation Law and the Nonlinear ...

A DGCL requires that these geometric parameters, which include among others grid positions and velocities, be computed so that the corresponding numerical ...

[7], Alberto Bressan, Marta Lewicka. A uniqueness condition for hyperbolic systems of conservation laws. Discrete & Continuous Dynamical Systems, 2000, 6(3): ...

(PDF) Conservation laws in discrete geometry - ResearchGate

Historically, the simulations of flows with shocks and/or turbulence have relied on solving the Euler equations with dissipative regularization.

Conservation laws in discrete geometry - Los Alamos National ...

Title. Conservation laws in discrete geometry ; Authors/Creators - name. Len G. Margolin. Roy S. Baty ; Publication Details. Journal of Geometric Mechanics, Vol.

Conservation laws in discrete geometry (Journal Article) | OSTI.GOV

The small length scales of the dissipative processes of physical viscosity and heat conduction are typically not resolved in the numerical simulation of ...

Groups and conservation laws for discrete-time systems

We say that a function f:X→X obeys the conservation law if c∘f=c. (The interpretation is that X is the state space of a discrete-time dynamical ...

Conservation laws in discrete geometry | Semantic Scholar

Semantic Scholar extracted view of "Conservation laws in discrete geometry" by Len G. Margolin et al.

Discrete gradient methods have an energy conservation law

The discrete conservation law has the same conserved density as the continuous conservation law, while its flux is found by replacing all derivatives of the ...

and the Geometry of Conservation Laws in Physics - Mark Gillespie

“How linked are the velocity and magnetic fields?” Page 33. • Standard Discrete Exterior Calculus gives us. • Now, we just need. MHD Equations. Discretization.

(PDF) The Discrete Geometric Conservation Law and the Nonlinear ...

(21) Equation (21) is known as the continuous geometric conservation law (GCL) because it states a conservation property between geometric quantities. 676 ...

Conservation Laws of Discrete Korteweg-de Vries Equation - arXiv

These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method ...

Geometric Conservation Law and Its Application to Flow ... - AIAA ARC

The GCL is solved numerically along with the flow conservation laws using conservative difference operators. Numerical results are presented for implicit ...

The discrete geometric conservation law and its effects on nonlinear ...

Discrete geometric conservation laws (DGCLs) govern the geometric parameters of numerical schemes designed for the solution of unsteady flow problems on ...

The discrete geometric conservation law and the nonlinear stability ...

The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.

A discrete geometric conservation law (DGCL) for a cell vertex finite ...

A discrete geometric conservation law (DGCL) for a cell vertex finite‐volume algorithm on moving domains.

Discrete Field Theory: Symmetries and Conservation Laws

We prove a new discrete Noether theorem relating symmetries to conservation laws and an energy conservation theorem not based on any symmetry.

Construction of the discrete geometric conservation law for high ...

The formulation and implementation of higher-order accurate temporal schemes for dynamic unstructured mesh problems which satisfy the discrete conservation ...

The discrete geometric conservation law and its effects on nonlinear ...

The discrete geometric conservation law and its effects on nonlinear stability and accuracy · Charbel Farhat, · Philippe Geuzaine and · Celine Grandmont.

Discrete Conservation Laws on Curved Surfaces II: A Dual Approach

In this paper we discuss discrete conservation laws for diffusion equations over triangular surface meshes from the viewpoint of duality. Conservation laws ...