High order finite difference schemes with application to wave propagation problems
High order finite volume schemes for numerical solution of 2D and 3D transonic flows
The aim of this article is a qualitative analysis of two modern finite volume (FVM) schemes. First one is the so called Modified Causon’s scheme, which is based on the classical MacCormack FVM scheme in total variation diminishing (TVD) form, but is simplified in such a way that the demands on computational power are much smaller without loss of accuracy. Second one is implicit WLSQR (Weighted Least Square Reconstruction) scheme combined with various types of numerical fluxes (AUSMPW+ and HLLC)....
High resolution methods for the Buckley-Leverett equation.
High resolution schemes for open channel flow
One of the commonly used models for river flow modelling is based on the Saint-Venant equations - the system of hyperbolic equations with spatially varying flux function and a source term. We introduce finite volume methods that solve this type of balance laws efficiently and satisfy some important properties at the same time. The properties like consistency, stability and convergence are necessary for the mathematically correct solution. However, the schemes should be also positive semidefinite...
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Higher order method for the numerical solution of the compressible Euler equations
Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction.
Higher-order phase transitions with line-tension effect
The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describes the effect of the container walls on the configuration of the liquid. This problem, also known as the liquid-drop problem, was studied by Modica in [Ann. Inst. Henri Poincaré, Anal. non linéaire 4 (1987) 487–512], and in a different form by Alberti et al. in [Arch. Rational Mech. Anal.u is a scalar density function and...
Higher-order phase transitions with line-tension effect
The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describes the effect of the container walls on the configuration of the liquid. This problem, also known as the liquid-drop problem, was studied by Modica in [Ann. Inst. Henri Poincaré, Anal. non linéaire4 (1987) 487–512], and in a different form by Alberti et al. in [Arch. Rational Mech. Anal.144 (1998) 1–46] for a first-order...
High-order finite element methods for the Kuramoto-Sivashinsky equation
High-rate wireless data communications: An underwater acoustic communications framework at the physical layer.
Hodograph method in MHD orthogonal fluid flows.
Hodographic study of non-Newtonian MHD aligned steady plane fluid flows.
Hodographic study of plane micropolar fluid flows.
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
Homoclinic, Heteroclinic, and Periodic Orbits for a Class of Indefinite Hamiltonian Systems.
Homogénéisation d'équations hyperboliques du premier ordre et application aux écoulements miscibles en milieu poreux
Homogénéisation d'un milieu incompressible viscoplastique de type Norton-Hoff périodiquement perforé
Homogénéisation variationnelle des équations d’Euler
Homogeneous and isotropic statistical solutions of the Navier-Stokes equations.