Search
Search Results
-
Solitary waves of the fractal Whitham–Broer–Kaup equation in shallow water
In the current work, we propose the fractal Whitham–Broer–Kaup equation which can well describe the propagation of shallow water travelling along...
-
Enhanced optimal delaunay triangulation methods with connectivity regularization
In this paper, we study the underlying properties of optimal Delaunay triangulations (ODT) and propose enhanced ODT methods combined with...
-
Two-scale mathematical model for tsunami wave
Scale or dimension is critical for all physical laws, and different scales might result in distinct and sometimes contradicting laws for the same...
-
An adaptive artificial viscosity for the displacement shallow water wave equation
The numerical oscillation problem is a difficulty for the simulation of rapidly varying shallow water surfaces which are often caused by the unsmooth...
-
Analysis of Intermittent and Quasi-Periodic Transitions to Chaos in Vibro-Impact System with Continuous Wavelet Transform
The study of dynamical systems chaotic behavior and their routes to chaos was in particular attention at recent years. These phenomena study in...
-
An Approximate Solution Technique for the Flow Past an Obstacle with a Large Weber Number
The main objective of this work was to determine the shape of the two-dimensional free-surface flow over a triangular obstacle placed over a semi...
-
Analytic calculation of two-dimensional linear viscous gravity–capillary waves on deep water generated by a moving forcing at non-critical conditions: wave patterns and spatial decay rate
Two-dimensional (2-D) steady viscous gravity–capillary wave patterns (minimum phase speed: c min ) by a moving Gaussian forcing (speed: V ) above the...
-
Assessment of stresses and strains accompanying the degradation of the surface layer composition of a coated cylindrical part under operating conditions
The presents the model of the evolution of coating and substrate composition with a given initial distribution under conditions of short-term thermal...
-
A new family of expanded mixed finite element methods for reaction–diffusion equations
A new family of expanded mixed finite element methods is constructed for solving the reaction–diffusion equations. Compared with the traditional...
-
New Optical Solitons for Time Fractional Coupled Zakharov Equations
Here, new methods called the exp a function and Kudryashov methods are implemented to obtain the analytical solutions of the fractional Zakharov...
-
An Optimal Finite Difference Scheme with Minimized Dispersion and Adaptive Dissipation Considering the Spectral Properties of the Fully Discrete Scheme
For the simulation of flow fields with a broad range of length scales, designing numerical schemes with good spectral properties is one of the most...
-
Fractal-Based Computational Modeling and Shape Transition of a Hyperbolic Paraboloid Shell Structure
The concept of Takagi–Landsberg’s fractal surface is applied in this paper for constructing a parametric model of a hyperbolic paraboloid (hypar)...
-
Neumann’s method for boundary problems of thin elastic shells
The possibility of using Neumann’s method to solve the boundary problems for thin elastic shells is studied. The variational statement of the static...
-
On Develo** Piecewise Rational Map** with Fine Regulation Capability for WENO Schemes
On the idea of mapped WENO scheme, properties of map** methods are analyzed, uncertainties in map** development are investigated, and new...
-
Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux
A fractional Cattaneo model is derived for studying the heat transfer in a finite slab irradiated by a short pulse laser. The analytical solutions...
-
A linear formulation for disk conformal parameterization of simply-connected open surfaces
Surface parameterization is widely used in computer graphics and geometry processing. It simplifies challenging tasks such as surface registrations,...
-
On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity
In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable...
-
Hierarchical Watershed Ridges for Visualizing Lagrangian Coherent Structures
Lagrangian coherent structures provide insight into unsteady fluid flow, but their construction has posed many challenges. These structures can be...
-
A simple trinomial lattice approach for the skew-extended CIR models
In this paper, we introduce a simple and efficient trinomial lattice tree approach for the skew Cox-Ingersoll-Ross (CIR) model and the doubly skewed...
