diff --git a/examples/diffusion/doc/model.md b/examples/diffusion/doc/model.md index 29aef2dd638190b8650598d532c9e476249366fd..428e248bb1c78d1dab2d62928c8ecce134093a78 100644 --- a/examples/diffusion/doc/model.md +++ b/examples/diffusion/doc/model.md @@ -56,7 +56,7 @@ struct DiffusionModel {}; The local residual assembles the contribution to the residual for all degrees of freedom associated with an element. Here, we use the Box method which is based on $P_1$ basis functions (piece-wise linears) -and the degrees of freedom are on the nodes. Each node is associate with +and the degrees of freedom are on the nodes. Each node is associated with exactly one sub control volume (`scv`) per element and several ($2$ in $\mathbb{R}^2$) sub control volume faces (`scvf`). In the local residual, we can implement the contribution for one `scv` (storage and source terms) or one `scvf` (flux terms). diff --git a/examples/diffusion/model.hh b/examples/diffusion/model.hh index fa9c0ff4b8d474297a0bc38e06ad56260889afd4..fa7d96219f0cfd709ae6bc0a0499e95a12fd97f9 100644 --- a/examples/diffusion/model.hh +++ b/examples/diffusion/model.hh @@ -46,7 +46,7 @@ struct DiffusionModel {}; // The local residual assembles the contribution to the residual for // all degrees of freedom associated with an element. Here, we use the // Box method which is based on $P_1$ basis functions (piece-wise linears) -// and the degrees of freedom are on the nodes. Each node is associate with +// and the degrees of freedom are on the nodes. Each node is associated with // exactly one sub control volume (`scv`) per element and several ($2$ in $\mathbb{R}^2$) // sub control volume faces (`scvf`). In the local residual, we can implement the // contribution for one `scv` (storage and source terms) or one `scvf` (flux terms). diff --git a/examples/freeflowchannel/README.md b/examples/freeflowchannel/README.md index bbdcd71dab4875bdc4f2c0ae178848816047616a..db1040f77ffb1a3dd5af6ba9b336073cfcd04762 100644 --- a/examples/freeflowchannel/README.md +++ b/examples/freeflowchannel/README.md @@ -258,7 +258,7 @@ public: #### Boundary conditions With the following function we define the __type of boundary conditions__ depending on the location. Three types of boundary conditions can be specified: Dirichlet, Neumann or outflow boundary conditions. On -Dirichlet boundaries, the values of the primary variables need to be fixed. On a Neumann boundaries, +Dirichlet boundaries, the values of the primary variables need to be fixed. On Neumann boundaries, values for derivatives need to be fixed. Outflow conditions set a gradient of zero in normal direction towards the boundary for the respective primary variables (excluding pressure). When Dirichlet conditions are set for the pressure, the velocity gradient diff --git a/examples/freeflowchannel/problem.hh b/examples/freeflowchannel/problem.hh index f651e5804d8ac06ddc3100e0cba951f2fc83f4d3..59b5cf27cbcb2f0767730c89d2ffb6f75531cc13 100644 --- a/examples/freeflowchannel/problem.hh +++ b/examples/freeflowchannel/problem.hh @@ -60,7 +60,7 @@ public: // #### Boundary conditions // With the following function we define the __type of boundary conditions__ depending on the location. // Three types of boundary conditions can be specified: Dirichlet, Neumann or outflow boundary conditions. On - // Dirichlet boundaries, the values of the primary variables need to be fixed. On a Neumann boundaries, + // Dirichlet boundaries, the values of the primary variables need to be fixed. On Neumann boundaries, // values for derivatives need to be fixed. Outflow conditions set a gradient of zero in normal direction towards the boundary // for the respective primary variables (excluding pressure). // When Dirichlet conditions are set for the pressure, the velocity gradient