the dynamics of multicomponent adsorption in a fixed bed adsorber is examined numerically. the dynamic model of adsorption in the packed column included axial dispersion and variable space velocity along the bed for the multicomponent adsorption adsorption the pore fluid and the solid phase are in equilibrium with a nonlinear isotherm. the numerical solution is based upon the modified lax-wendr...

The discontinuous Galerkin (DG) or local discontinuous Galerkin (LDG) method is a spatial discretization procedure for convection-diffusion equations, which employs useful features from high resolution finite volume schemes, such as the exact or approximate Riemann solvers serving as numerical fluxes and limiters. The LaxWendroff time discretization procedure is an alternative method for time d...

The Lax-Wendro↵ time discretization is an alternative method to the popular total variation diminishing Runge-Kutta time discretization of discontinuous Galerkin schemes for the numerical solution of hyperbolic conservation laws. The resulting fully discrete schemes are known as LWDG and RKDG methods, respectively. Although LWDG methods are in general more compact and e cient than RKDG methods ...

Single-stage or single-step high-order temporal discretizations of partial differential equations (PDEs) have shown great promise in delivering accuracy time with efficient use computational resources. There has been much success developing such methods for finite volume method (FVM) PDEs. The Picard Integral formulation (PIF) recently made single-stage accessible difference (FDM) discretizatio...

Harmonic wave excitation in a semi-infinite incompressible hyperelastic 1D rod with the Mooney–Rivlin equation of state reveals formation and propagation shock fronts arising between faster slower moving parts initially harmonic wave. The observed result collapse being absorbed by parts; hence, to attenuation kinetic elastic strain energy corresponding heat generation. Both geometrically physic...