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If I am correct, your Noetherian local domain $(R,m(R))$ admits a place $D$ (maximal local domain) such that $R\subset D\subset K$ and $m(D)\cap R=m(R)$ (for a local ring $L$, we note $m(L)$ its maximal ideal). The fraction field $K$ is common to $R$ and $D$. As $D$ is a place there is a valuation $$ v\ :\ K\to \Gamma_{\infty} $$
such that $$ D=\{x\in K\,|\, 0\leq v(x)<\infty\}\ ;\ m(D)=\{x\in K\,|\, 0< v(x)<\infty\} $$ this valuation defines the quotient topology $$ R\times (R\setminus \{0\})\to K $$ which automatically is a topological field, see the construction here.