Automatic Differentiation for Pdes { Unsaturated Flow Case Study
نویسندگان
چکیده
منابع مشابه
Chemical Reaction Effects on Bio-Convection Nanofluid flow between two Parallel Plates in Rotating System with Variable Viscosity: A Numerical Study
In the present work, a mathematical model is developed and analyzed to study the influence of nanoparticle concentration through Brownian motion and thermophoresis diffusion. The governing system of PDEs is transformed into a coupled non-linear ODEs by using suitable variables. The converted equations are then solved by using robust shooting method with the help of MATLAB (bvp4c). The impacts o...
متن کاملA MATLAB method of lines template for transport equations
Many environmental problems involve diffusion and convection processes, which can be described by partial differential equations (PDEs). This paper will describe the development of a MATLAB template that generates a numerical solution to PDEs using the method of lines. The template will be applied to various unsaturated flow problems within soil physics to demonstrate the versatility of the met...
متن کاملFast Numerical Methods for Simulation of Chemically Reacting Flows in Catalytic Monoliths
Chemically reacting flows in catalytic monoliths are investigated. The fluid dynamics are modelled by the boundary layer equations (BLEs), which are a large system of parabolic partial differential equations (PDEs) with highly nonlinear boundary conditions arising from the coupling of surface processes with the flow field inside the channel. The BLEs are obtained by simplifying the comprehensiv...
متن کاملGroundwater recharge simulation using a coupled saturated-unsaturated flow model
Abstract The coupled MODFLOW-HYDRUS software package was used to produce a saturated-unsaturated flow model for a Flood Spreading System (FSS) and its associated aquifer. The study aim to improve simulations of near-surface hydrological processes, including temporal and spatial variation in groundwater recharge rates. The coupled model was built with average RMSE=1.1 and 1.3 for calibration ...
متن کاملCluster of differentiation (CD) markers in erythrodermic patients: A case series study
Background: Erythroderma is an inflammatory disorder. It has various differential diagnoses, among which one of the most important is mycosis fungoides. Erythroderma itself can be a challenging disorder. Diagnosis of a mycosis fungoides patient presenting with erythroderma specially requires a careful assessment of the peripheral blood. Studies such as CD markers can lead to a more accura...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1992