Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Boundary Conditions for Current Density

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

Electrostatic Boundary Conditions

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...

Boundary Conditions: Lossless Lines

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...

Steady, Laminar Flow Between Parallel Plates

Steady, Laminar Flow Between Parallel Plates

Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.

Electrostatic Boundary Conditions in Dielectrics

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Cross-Sectional Models of Groundwater Flow: Review and Correction for Transverse Flow.

Ground water·2025

Same author

Composition and distribution of the near-shore waters bordering the coral reefs of Aruba, Bonaire, and Curaçao in the Southern Caribbean.

Marine pollution bulletin·2024

Same author

Groundwater modelling reports fail to comply with guideline recommendations for model reproducibility.

Journal of environmental management·2024

Same author

Effects of porous media thickness and its hydraulic gradient history on the formation of sand boils: Experimental investigation.

The Science of the total environment·2023

Same author

Evaporation loss along the Calueque-Oshakati Canal in the Cuvelai-Etosha Basin (Northern Namibia): evidence from stable isotopes and hydrochemistry.

Isotopes in environmental and health studies·2020

Same author

Sediment mobilisation and release through groundwater discharge to the land surface: Review and theoretical development.

The Science of the total environment·2020

Same journal

Computing Flow-Field Distortion Coefficients from Well-Construction and Formation Properties.

Ground water·2026

Same journal

Leaky Sewers Hydraulically Disconnect from Groundwater: A Proof-of-Concept.

Ground water·2026

Same journal

Python-Based Model Emulation Workflows with PEST.

Ground water·2026

Same journal

Hydrogeology in the Age of AI and Climate Change.

Ground water·2026

Same journal

Aquifer Thermal Energy Storage: Groundwater for Efficient Data Center Cooling in the United States.

Ground water·2026

Same journal

Simulating the Impacts of Deep Geothermal Development on Shallow Hydrothermal Resources in a Rocky Mountain Rift Valley.

Ground water·2026

See all related articles

Search research articles

Related Experiment Video

Updated: May 10, 2026

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

Spatial periodic boundary condition for MODFLOW.

Tariq Laattoe¹, Vincent E A Post, Adrian D Werner

¹School of the Environment, National Centre for Groundwater Research and Training, Flinders University, GPO Box 2100, Adelaide SA, 5001, Australia.

|July 2, 2013

Summary

This summary is machine-generated.

Researchers developed a spatial periodic boundary (SPB) for MODFLOW, enabling effective hyporheic zone (HZ) modeling. This advancement allows for simulating infinite bedform repetitions in HZ research.

More Related Videos

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

Related Experiment Videos

Last Updated: May 10, 2026

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

Area of Science:

Hydrology
Computational Hydrogeology
Environmental Modeling

Background:

Small-scale hyporheic zone (HZ) models commonly employ spatial periodic boundaries (SPBs) to simulate repeating bedform structures.
Commercial multiphysics modeling packages often include SPB features, but MODFLOW has lacked this capability, limiting its use in HZ research.

Purpose of the Study:

To implement a spatial periodic boundary (SPB) condition within the MODFLOW modeling software.
To overcome the limitations of MODFLOW in simulating infinite bedform repetitions for hyporheic zone research.

Main Methods:

Developed block-centered finite-difference expressions for SPB implementation in MODFLOW.
Adapted the method to be analogous to MODFLOW's general head boundary package.
Utilized solvers with inner and outer iterations for optimal model convergence.

Main Results:

Successfully implemented the SPB condition in MODFLOW.
Verified the correct functioning of the SPB condition through two distinct model examples.
Demonstrated that models with SPB converge best with iterative solvers.

Conclusions:

The developed SPB implementation enables the construction of hyporheic zone-bedform models in MODFLOW.
This facilitates further research using linked codes such as MT3DMS and PHT3D.
Enhances the utility of MODFLOW for advanced hyporheic zone and contaminant transport studies.